Hey there Cambow, if you lookup Usery Mountain Archers, they run periodic Field Archery shoots at Usery Mountain Park that are a lot of fun and great practice. You should also checkout Apache Bowhunters in Globe--not "trad only" but they did host a great trad only shoot in March, and some good guys (trad shooters).
If you follow Canyon's link to Arizona Bowhunters Association and lookup the Western States Triple Crown results for Trad (7/8 of the way down, past most of the wheelie classes), you'll see the trad shooters in AZ that compete 3D. Next WSTC event is Bowhunter Happening at Mormon Lake (just SE of Flagstaff) July 29-31; most of us will be there.
If you like shooting wood arrows and are pretty open-minded, you might also explore the Society for Creative Anachronism (SCA) group in the area, which is called Twin Moons. They have a robust archery community (stickbow and medieval crossbow shooters). You could google them and checkout one of their weekly practices.
See you around :-D
~Brett