I don't know of any Wing Chun schools in that area, but I did go to tech school at Keesler about 10 years ago. What AFSC are you training in?
If they still run things the same way they did a decade ago for non-prior service, then you're in Phase 1 and won't even be able to leave base for a month or so. Phase 2 won't do you much good, either, since you have to be in uniform to leave base and will have pretty limited time off base anyway. You'll have to wait for phase 3 before you could go find a place to train, but how long will you be there after that, really? If you do find a place, you won't be there more than a few months (unless you get stationed at Keesler... or are training in PMEL).
You may just have to practice the forms on your own for now, and then try to find something once you know where you will be stationed after tech school. You could also ask around and see if anyone else has any martial arts experience, it's unlikely but not impossible that there is another WC guy there. I was training some boxing right before basic, and met another boxer during tech school while hitting the bag at the gym one day.
Of course, if someone else can recommend something close by, then it couldn't hurt to check it out. Once you phase-up to phase 3, anyway. Unless, of course, they've done away with that whole phase system.
Anyway, good luck with your tech training, Airman. Let me know if you have any questions about tech school, I just might be able to remember the answer.