Question for my fellow military types...

You should be able to use the unit paint-locker...

I never had any problems with it when I was a lazy Private, but the First Shirt told me to keep my paints, cements, and thinners in the paint-locker in the Supply Room when I wasn't using them, due to the solvents and fire regs... 

'Course, back when I was living in the EM barracks, you could smoke inside them, too...  I had all the HAZMAT stuff in a toolbox I bought, so I just had to grab it when I was wanting to work, then return it before I left or racked out (The CQ had keys to that part of the Supply Room and the paint-locker, so I wasn't dependent on the Supply Daddy to be there...)

I spray-painted (rattle-can) outside over the bore-cleaning solvent barrel (Airbrush? Not on 480.00 a month), and used a drop-cloth to protect that US Government desk-top...

no more hazardous smelling than CLP or any other mil toxic stuff we're around any given day.

id just keep it tidy, and in an airtight box, or tool box with some rubber seal (ammo can) so nobody can smell it when its stored.

while you're painting? who cares, paint isnt as bad as cigarettes or standing next to a Deuce:)

what stuff are you bullding there?

I dont have any experience doing this on post anywhere but maybe you could ask the SOG of the barracks.

I never had a problem, but my room mate was pretty forgiving and by the time I got back into the hobby I was high enough rank that I wasn't inspected much.

Gluing and brush painting I did inside and spray can (all that was available where I was) I did outside in a crude cardboard box "booth".

All the smells got outweighed by everyone's interest in my progress, not one complaint.

Maybe make friends with a vehicle tech and get afterhours access in a garage?  Some bases even have do-it-yourself auto repair area or woodworking/hobby rooms just for this.

For assembly using liquid solvents it shouldn't be an issue. Odors from putty might linger a while. Will you have a roommate? I know every time I went TDY I ended up with one...some were losers but others were great!

You can do your painting at the base Hobby Shop! Many have paint booths for crafters, even decent airbrushes too. Some sell hobby supplies cheap too.

I did some modeling using the base Hobby Shop facilities when TDY because I was staying in billeting and even farting was unauthorized in those rooms!

Bribery...

I am based to far away from home to travel every day. So because i spend more time at camp than at home, and because i don't have the space at home to build models at the moment, all my modelling is done in my room on camp. Luckly i do have my own room, don't know if this will be the case with you. I have never had a problem. I just make sure everything is left tidy before an inspection and when i go away and make sure a window is open when doing anything smelly, especially painting. My room is full of model stuff. All my stash in on top of my wardrobes and all my AM parts, paints, dio materials and other stuff is under my bed.  And when we have an inspection, it usually draws the attention of the officer who spends more time looking at my built kits then at my room.

You can always use non smelly stuff. Acrylics and the like. They even make a nice smelling glue.

Or you can do what my roomate did back in the day. He flew R/C aircraft and stored all his fuel and dope in the wall locker...but he flew them with the Base Commander, so he had a pass, so to speak.