Long time desert rat. First, before the gun, you need WATER, lots of it, and a good cell phone with fresh battery and coverage, sattelite phone if you can, map of the area is great,and go with someone familiar with the area. The desert is a harsh mistress, especially in summer.
A nice light 38 revolver with first two as snake shot is a good idea. The Glock will work but the first round of snake shot will NOT cycle the action. Take the wheel gun with at least one speedloader, say most of them in defensive loads, but keep a few spare snake shot, too. NOTE, I did NOT say bird shot...other snakes are out here too, two legged variety that smuggle humans and drugs, be careful when you get anywhere close to the border.
Have fun, there is a lot of beauty in the desert, if you know where to look.
AZ allows lawful open carry, stay clear of the reservations. Our CCW is shall issue, and is also a non resident permit, which takes a short class - get one while you're out here.
Welcome to the Southwest!