If you apply for the late(November) general rifle, muzzy or archery hunts you will have a chance in nearly all the units you apply for. Most NR's apply for the more coveted early hunts. I met some hunters from Washington state on a November 6a rifle hunt 2 years ago that said they draw an AZ late rifle hunt about every 2 or 3 years. They did have their AZ permanent bonus points for hunters safety class and their loyalty bonus point.
Supposedly, AZ G&F is going to change the rules for NR's and only give a maximum of 5% of available 10% NR tags in the 20% pass. If this goes through then all NR's will have a CHANCE to draw just about all hunts (even early hunts) no matter how many points they have. First they have to change the rule though. I heard this was going to happen in 2016 or the following year. Better to start applying now to build points.
My recommendation for any NR with max points right now is to apply this January because their wait will probably be longer after this years draw. The rule will be good for guys who got in the game late and do not have a lot of points. The new change will probably be bad for the NR's with the most points.
Good luck & good hunting.