Multiple Balance Forward Bills per Day

I have a requirement in that the AR/Billing group would like to create balance forward billings more then once per day per customer.

The invoices are interfaced from Projects, the system automatically creates 1 invoice per project agreement number, we need to have multiple agreement numbers on 1 AR invoice. 

Balance Forward Billing will work for the most part to combine all activity for the customer but my issue is that we would need to go through this process several times a day for the same customer. 

Example:

First process 2 project invoices and interface in to AR, this would create 2 AR invoices.  Run the Balance forward billing to get 1 bill to send to customer.