I am in the same situation as you, I'm active duty as well. There is an AFRC recruiter at your base. Mine is located at the MPF Office. However, he got me in contact with an Accesions recruiter who is at another base. Typically recruiters deal with 3 or 4 bases, not just one. It just depends on your base, but definetly try there. There is no use going to an outside recruiter, they'll just refer you to the on base one because you're already in (Believe me I've tried). It took my a while to get into contact with her but she was the person that I needed to talk to. She is sending me documents that I need to fill out, but she confirmed to me they are indeed sending people unsponsored. She also said there may be a board as early as September and there is one scheduled in November.