Personally, I would try to find an option other than the base armory. I can't swear to actions now, but I was inthe Air Force for 20 years with extensive experience around the base armories.
Nice guns drew the attention of the armorers and were handled quite a lot. Occassionally getting damaged in the process.
Better if you know someone living in the base housing that will store it for you in their house.
eta: Many hotels have safes or safety deposit boxes that you can lock your gun up in as well. Check with your hotel and see what they offer. You don't have to tell them youwant to securea gun, just ask about in room safes or lock boxes a tthe hotel desk.