Mike 26,
I had applied for SNA and was told by the Navy recruiter to hold on to my AF certificate for SERE. You are good to go from what I was told. Also, I asked this same question a year ago or so on this forum and I was told the same thing; as long as I have my AF certificates showing I took the courses, I was good to go. Hopefully this answers your question. If it wasn't for a Guard unit(30 minutes from home) selecting me for UPT, I'd be doing the same thing you're doing. Good luck.
P.S.
Tac Airlift Rules!!!!!!
Passing gas takes a close second. J/K