Western New Mexico from Lordsburg up to Reserve ( Mostly National Forest) may be of interest to you: The spur thru Mule Creek Pass has National Forest, J Thorpe filmed his video just North of RT 10 Lordsburg in the Burro Mountains and the ranches below which is BLM and partial private. Stick to National Forest. Cage Traps in AZ. There is a range around Plyas NM that was productive also, but you have to watch out for Illegals. Unless you can get on the San Carlos Reservation. Respect the land and there are lots of good trappers in that area.
I grew up in that part of the world south of Lordsburg at Animas. Lot of country down there, fur quality will be on the low side. Elevation is right around 4000 ft and it's desert country. Lots of varmints though, used to hunt lots of lions down there. Reserve, and the surrounding area would be better for fur quality. Elevation is high, more mountain country, colder winters, and like stated above mostly national forest around there. However, you would have to deal with wolves, which is a pain in the (This word is unacceptable on Trapperman) in this state. We cannot trap or hunt them here so you might want to do some research if trapping in that area. I'm in central NM and don't have to deal with them. Our state game and fish proclamation has all the guidelines for trapping and can be downloaded at wildlife.nm.state.us The furbearers section starts on page 122, and the lion section is on 116 to 121, lion tags you have to pay for separately. Happy trapping!!