Sorry I can't really help, I have been gone a long time, 1985.
I lived there and worked on the White Sands Missle Range. I was a Cowboy, (Wrangler) I worked on horse back every day, and openly carried a pistol on my hip. On Base, on Range, and in town (Alamogordo). But that was a long time ago. I'm sure things have changed since then. The one man that maintained legal sanity in Otero County (Judge Bob Bradley) died shortly after I left in 1985. My wife grew up there in Alamogordo. Bob Bradley considered her like his own daughter, she had grown up with his girl living next door. When we got assigned there we moved back into her Dad's house, the one she had grown up in. First thing she did was take me over and introduce me to The Judge.
The Hunting was great in that area. Elk, Antelope, Mule Deer, Whitetail, Muletail, Turkey, Black Bear, Orex, Barbary Sheep, Ibex, and Coyotes everywhere.