My local avian vet is fantastic with contact, and will warn people if a bird had been found to have a highly contagious condition has been in recently, and will ask if you would like to reschedule for another day. He schedules a week or two in advance, and is always available for health questions. However, not many people own, or rather, take thier birds to the vet very often in my area, so we are rather safe in that regard. I take my guys in every year for thier gram stains, physicals and the like, but thats just because I like to have very clear records in case anything begins to go wrong, and it makes sure that my vet of choice knows my guys' personal needs well.
Youll find the plan that suits your schedule and wallet soon enough.