Not in AZ, but generally around here a 2wd pickup is more than good enough, especially if Bill's advise is taken. The only thing I'll add is not to park in a dry wash, and keep and eye and ear out. Sudden t-storm miles away can result in a wall of water in a wash as a flash flood can bear down on you.
I'd also carry a tire plug kit and a sourch of air, like a cig lighter plug in air pump. You can also air down the drive wheels to around 10-15 lbs to get a bigger footprint and get out of a soft spot if need be, then pump them back up.