Hard Limit for revenue not invoicing

We are running into an issue with converting our projects data. In our legacy system we are able put a cap on generating revenue while still allowing billing to occur in excess of the Funding amount. In Oracle, we are using the Billing Control - Hard Limit at a Contract line level to cap revenue, the issue is this also caps billing as the two are not independent.

Question - is there a way to continue to generate invoices beyond the funded amount while capping the revenue on a contract line?