I would also feel hesitant about billing on 2 separate claims. Personally I would ask the payer to provide you with documentation that shows that's their policy and prove that it's an acceptable way to bill. If they have nothing legitimate in writing, I would appeal based on the fact they are asking you to bill improperly. If the payer is telling to you disregard standard billing practices in order to get payment, they need to be called out on it.