Try Fighter Combat International up at Williams Gateway Aiport to the SE of Phoenix. They use a couple of Extra 300's for simulated aerial combat exercises and never seemed to desperately busy for the 3 months I was there a couple of years ago - might be room for haggling!
Don't know about hiring, but might be worth asking at Ryan, a small airfield SW of Tucson. Some fairly interesting places to go fly in the area, including Pinal where they seem to park up loads of widebodies which are either unwanted or knackered, and occassionally visited by the NASA 747 that piggy backs the Shuttle. I'd love to see some of these big boys getting in/out of such a tiny airfield! I'd rather fly to Davis-Monthan, but ground vistors only - still, I guess you knew that already.