AR - Separate batches for recurring invoices

Has anyone developed a good method to create separate batches for recurring invoices with the same recurring frequency?  We have two very distinct divisions that both wish to use monthly frequency however, I do not want their invoices to be created in the same batch when they are recycled as this would mean one division could delay the other division's invoice processing.

I don't really want to use Trans Orginator as this could become problematic during employee absences (with other employees filling in) or Batch Number as this relies on every user remembering to add any recurring invoices to a specific batch.