Pensacola has a great "local' Hunter Jumper Association, and so does Tallahassee (Southern Hunter Jumper Association). Unfortunately they'll be 4 or 5 hours in the least from ANY A shows!!!
PM me and I can get you some farm names there with good care/training/etc........
and I'm pres of SHJA and can get them in touch with the local show scene!
There are some good dressage barns/folks around there too/!....Southern Cross/ the Kelly's??
If you don't like the base stables, then I would check out Willow Creek in Crestview. It's 20 mins from the base and gives good care. Owner is a H/J trainer and hubby is an excellent farrier, all people are welcome you do not have to do h/j. Very laid back friendly atmosphere. Lots of turnout, nice big arena, a/c tackroom, etc. PM me if you want the number.
Just a quick reply, I also know of one about an hour and a half away from Eglin, by a town called Alford. It's a private family facility with a few boarders who do pony club. PM me for more info if she's still looking.