Prevent Accrued Expenditure Items from Being Picked Up by Cost Based Billing

We are trying to find a way to prevent accrued Expenditure Items with a specific Transaction Source from being picked up by the cost billing process. It appears Billable or Bill Hold might be used to achieve this. After researching, I found Billable/Non-Billable, Bill Hold, and Transaction Control only apply at the Project/Award Level or Expenditure Type level. Has anyone try to control billing at Transaction Source level?