Charlie, Got any kids? If so then try to get a shared residence agreement, or at least some form of contact agreemnt and then get your marital cat changed to cat 3(?) - you are then entitled to a quarter for when kids visit.
As an aside - I've realized how the air force plans to survive with 41k people into the next decade: It will be populated by divorced men who are tied to BSA/the CSA/alimony and have given-up on relationships, choosing, instead to spend all their time at work. Good luck fella!