I would try setting up a sleep study. If you need an order to schedule one, ask you pedi to right it while you wait for the ENT appointment. Sometimes the wait is long and sometimes you get lucky. I'd call every couple days looking for a cancellation slot for a study. If the results from the sleep lab are severe enough, you'll get in with the EN T right away. If not, then at least you know that and have some testing out of the way before your appointment.
Megs
DD1 (13-ish)
DS (11-ish)
DD2 (5-ish)