Is there a workaround to assign alternate account rules between two primary balancing segments?

We have two different primary balancing segments that use some of the same cost centers. The department is trying to consolidate multiple cost center segments under one balancing segment/cost center. The functionality for specifying an alternate account in "Manage Account Combinations" under Setup and Maintenance only allows an account with the same primary balancing segment. Is there another way to get the subledger accounting to be automatically reassigned at the time of the effective end date?

Example

Anything pointed at 1111.65564.XXXXXX would need to go to 2222.65564.XXXXXX instead.