I would reconsider. My garage door faces West, and it gets pretty hot out there. I don't even like to leave extra ammo in my range bag stored out there.
Is there any possibility you can "appropriate" an interior closet for storing your ammo, perhaps with a good key-locking doorknob for security? Alternatively, a nice sized "Armoir"(sp!?) or entertainment center with sturdy shelves.
I formerly used a "blanket chest" at the foot of the bed, until "She who must be obeyed" decided the furniture needed rearranged. When I brought in the handcart and started unloading my ammo, it was just a wee bit embarrassing...5K of Q3131A, 1.2K IMI M855, and 3K of IMI M193. Oh, and my Zombie Dog Ruger was lying on top the ammo.
Rule #1, don't let the wife see your ammo stash! When Academy had Q3131A on sale over the holidays, she was VERY unsympathetic when I made a comment about getting a "rain-check" for a couple more cases...
Having said that, IIRC some 1950's vintage Egyptian made 8mm I used to shoot all worked great, and had almost certainly been stored under desert conditions of high day time and low night time temps for DECADES.
Paladin