You sound like you are in the States. A paediatric gastrenterologist here is not a normal paedatrian. He specialises in Gut and oesphogus problems only and not your garden variety Paediatric concerns.
When I booked my DS2 the receptionist was asking me what I was being referred for as she wanted to make sure DS2 was seeing the right sort of paediatric specialist.

If you can get right into an ENT then I would. It may help ease your husbands mind too.