<?xml version="1.0" encoding="US-ASCII"?>  
<!-- Generated by CompSci Transform (tm) - http://www.compsciresources.com -->    
<!-- Created: Tue Mar 31 17:59:47 UTC 2026 -->  
<xs:schema elementFormDefault="qualified" xmlns:bdvc="http://www.fbccbdc.com/20260330" targetNamespace="http://www.fbccbdc.com/20260330" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:us-types="http://xbrl.us/us-types/2009-01-31" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:dtr="http://www.xbrl.org/dtr/type/2022-03-31" xmlns:xbrli="http://www.xbrl.org/2003/instance">  
  <xs:annotation>   
    <xs:appinfo>  
      <link:linkbaseRef xlink:type="simple" xlink:href="bdvc-20260330_lab.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef"/> 
    </xs:appinfo>   
  </xs:annotation>    
  <xs:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>  
  <xs:import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>  
  <xs:import namespace="http://xbrl.sec.gov/ecd/2024" schemaLocation="https://xbrl.sec.gov/ecd/2024/ecd-2024.xsd"/> 
  <xs:import namespace="http://xbrl.sec.gov/dei/2024" schemaLocation="https://xbrl.sec.gov/dei/2024/dei-2024.xsd"/> 
  <xs:import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd"/>    
  <xs:import namespace="http://www.xbrl.org/dtr/type/2022-03-31" schemaLocation="https://www.xbrl.org/dtr/type/2022-03-31/types.xsd"/>     
  <xs:import namespace="http://xbrl.sec.gov/ecd-sub/2024" schemaLocation="https://xbrl.sec.gov/ecd/2024/ecd-sub-2024.xsd"/>    
  <xs:import namespace="http://xbrl.sec.gov/dei-sub/2024" schemaLocation="https://xbrl.sec.gov/dei/2024/dei-sub-2024.xsd"/>    
  <xs:import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd"/>   
  <xs:element name="AllOtherCompensation" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="bdvc_AllOtherCompensation"/>    
  <xs:element name="Bonus" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="bdvc_Bonus"/>    
  <xs:element name="EquityAwards" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwards"/>   
  <xs:element name="NonEquityIncentivePlanCompensation" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="bdvc_NonEquityIncentivePlanCompensation"/>  
  <xs:element name="NonqualifiedDeferredCompensationEarnings" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="bdvc_NonqualifiedDeferredCompensationEarnings"/>    
  <xs:element name="OptionAwards" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="bdvc_OptionAwards"/>   
  <xs:element name="Pension" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="bdvc_Pension"/>   
  <xs:element name="Salary" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="bdvc_Salary"/> 
  <xs:element name="StockAwards" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="bdvc_StockAwards"/> 
  <xs:element name="ChangeInPensionValueAndEquityAwardValueMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_ChangeInPensionValueAndEquityAwardValueMember"/>  
  <xs:element name="EquityAwardsAdjustmentsAdjustmentsForEquityAwardsFailedToMeetPerformanceConditionsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwardsAdjustmentsAdjustmentsForEquityAwardsFailedToMeetPerformanceConditionsMember"/>   
  <xs:element name="EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfCurrentAwardsVestedDuringCurrentYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfCurrentAwardsVestedDuringCurrentYearMember"/>     
  <xs:element name="EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfPriorYearAwardsVestedDuringCurrentYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfPriorYearAwardsVestedDuringCurrentYearMember"/>    
  <xs:element name="EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfVestedAwardsDuringCurrentYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfVestedAwardsDuringCurrentYearMember"/> 
  <xs:element name="EquityAwardsAdjustmentsChangeInFairValueAsOfYearEndOfOutstandingAndUnvestedAwardsGrantedInPriorYearsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwardsAdjustmentsChangeInFairValueAsOfYearEndOfOutstandingAndUnvestedAwardsGrantedInPriorYearsMember"/>    
  <xs:element name="EquityAwardsAdjustmentsDividendsOrOtherEarningsPaidOnEquityAwardsNotOtherwiseReflectedInFairValueMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwardsAdjustmentsDividendsOrOtherEarningsPaidOnEquityAwardsNotOtherwiseReflectedInFairValueMember"/>   
  <xs:element name="EquityAwardsAdjustmentsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwardsAdjustmentsMember"/>     
  <xs:element name="EquityAwardsAdjustmentsYearEndFairValueOfAwardsGrantedInCurrentYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwardsAdjustmentsYearEndFairValueOfAwardsGrantedInCurrentYearMember"/>   
  <xs:element name="EquityAwardsValueInCompensationTableForTheApplicableYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_EquityAwardsValueInCompensationTableForTheApplicableYearMember"/> 
  <xs:element name="NetAdjustmentsForEquityAwardsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_NetAdjustmentsForEquityAwardsMember"/>  
  <xs:element name="NetAdjustmentsForPensionMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_NetAdjustmentsForPensionMember"/>  
  <xs:element name="PensionAdjustmentsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_PensionAdjustmentsMember"/>     
  <xs:element name="PensionAdjustmentsPriorServiceCostMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_PensionAdjustmentsPriorServiceCostMember"/>  
  <xs:element name="PensionAdjustmentsServiceCostMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_PensionAdjustmentsServiceCostMember"/>  
  <xs:element name="PensionValueAndEquityAwardsValueInCompensationTableForTheApplicableYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_PensionValueAndEquityAwardsValueInCompensationTableForTheApplicableYearMember"/> 
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  <xs:element name="PensionValueInCompensationTableForTheApplicableYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="bdvc_PensionValueInCompensationTableForTheApplicableYearMember"/> 
</xs:schema>
