Thank you again to everyone, and an update on this. After finding an Alabama Herp page and them pointing me to a Southwest Alabama Herp page which is exactly in my area, I have my vet lined up. There was one name that came up from both of them, and at my last visit to PetSmart to buy a mouse for breeding the girl who checked me out mentioned the SAME vet who cares for her bearded dragon. Even better, turns out she is the same one who cared for my avians when I had them, and she's great. Apparently she prefers to handle all exotics, so I feel a lot happier about this than some vet who is technically qualified but maybe not very experienced.
*edit* Oh, and I forgot to mention, she's also less than an hour away. Probably about 45 minutes. And she works every day there, not just a couple of designated days like some of the others.