Well, the Air Force has a country band and bluegrass band working out of Bolling AF base in D.C., but when you only need about 5 people, the competition is pretty darned high. It's probably the same in the other services. Jed, if you manage to get in and make it through the required training, I hope you don't wind up in a job you can't stand, serving a 2-year unaccompanied tour in Korea or Panama or some other exotic place. Once you're in, they own your ass - verbal promises aren't worth the paper they're written on.

You might want to look into volunteering for the Red Cross or check with the personnel office at your nearest military base. Info on jobs with the VA here, and Department of Defense civilian job opportunities here. Somehow, I don't think you're looking for a job working for the DoD, but hey - at least you can quit that!