I have heard 19B, is a great hunt but you have to pay a trespass fee. Which I don't mind as long as the quality is good.
As far as elk, I'm seriously thinking of trying to draw 9 or 10 for elk, during the archery season. At one point I was going to try 8, but I have applied for a while and don't know if I'll do it again. After I draw my first elk tag...I might because I'll put in until I draw a desert bighorn sheep tag. And I like elk hunting!
I have been to Arizona few times, just visiting and I might retire there in 30 years or so. It's a very nice state!