Invoicing & Accounting Rules With Balance Forward Billing Question

I have a requirement to use balance forward billing for consolidation purposes.  I'm using a BFB monthly period where the billing date is the same day each month.  Additionally, I would like to use an In Arrears invoicing rule so that an unbilled receivable is recorded when each invoice is created.  However, I want to recognize 100% of the revenue when the invoice is created. 

Ideally, the unbilled receivable would be cleared when the consolidated invoice is generated.  What I have tried so far to make this scenario work is to use the In Arrears invoicing rule and a two-period accounting rule where 100% of the revenue is recognized in period one.  The problem is that when the GL date is derived, it is set to a date in the 2nd period which is not what I want.