Sounds like you should probably move to Arizona. Did you ever look into those "resident" application numbers? Might want to start there first and clean up that application pool. Also, the licenses are issued to landowners, resident or nonresident that pay some form of tax to the state, and they transfer them to whomever they choose and I'm pretty sure the outfitter pool is open to residents and non residents alike.
Also for the guys saying Arizona isn't privatized, those larger ranches ARE privatized, if you draw a tag you can expect to pay an outfitter $5k and up, to have access to those private ranches. There are whispers some of the more recent larger animals have cost $250k and up for access, which is why some of the auction tags sell for what they do. If you take away eplus, that is what New Mexico will be. If you added eplus or PLO tags to Arizona, such as in Colorado, you would see those costs for private access come down, IMO.
The animal may belong to the state but access to that animal belongs to the landowner when it's on their property and we all know that an animal will go to the place of least disturbance once hunting season starts. Each state has tried to figure out the best way to manage those animals, opportunity, and quality with the tools they have. It's not a job I envy. I don't think we'll ever reverse any of this but you slow it down or stop its progress by opposing the transfer/sell of federal lands to states, that's the only way you keep low cost public access to hunting.
There is some form of privatization in every state, it's just easier to see in New Mexico because the prices are posted online. This wasn't an issue when resident draw odds were over 60%, it only became an issue in recent years when the resident pool got drastically larger, while the states population remained the same, and draw odds decreased. Again, this is all my opinion from 30 years of observation.