There's some great hunting not too far from Cruces. I lived there for a few years working on a project for my company. The Cloudcroft area about an hour and a half east, holds great elk and turkey hunting. The mulies aren't bad either, but really crowded on the general hunt. Also, it's close the White Sands Small Missle Range, and Rhodes Canyon, which have gemsbok (oryx) hunts. It's a tough draw, though, and if you're out of state it's really expensive. To the west toward Lordsburg, you'll find mulies, coues deer and Javalina. Plus it's not too far from the Gila. The dove and quail hunting is the best in the state, also (at least that's what I hear). Not a bad place to be if you're a sportsman.