Arizona's annual winter meet, the DHC, will be in Casa Grande this year January 23-24. The last time it was in Casa Grande the rabbit populations were amazing, I think it was one of the best meets I'd been to.
http://arizonafalconers.com/?p=632

No additional paperwork or permits needed to bring your bird to AZ. Non resident temporary hunting licenses look to be $20/day and can be bought at any AZ wally world or sporting goods store.