Chief lives in Las Cruces. Otero1 lives in Alamogordo. Those are the 2 biggest places on each side of White Sands. I was born in Las Cruces and I know it well.
You'll be within easy drives of Ruidoso. Horse racing and skiing there. Got a brother who lives there now.
Carlsbad Caverns is not that far away.
Roswell is close, so you can go learn all about UFOs from the conspiracy theorists there who don't know who Robert Goddard was.
If you happen to be into treasure hunting, since you are a government employee, you might want to check out the rumors about the treasure at Victorio Peak. My Aunt and Grandmother were part of the excavation attempts the Government allowed there after Doc Noss dynamited it shut instead of opening it up. My Aunt still believes the Army excavated all of it out and screwed Doc out of his discovery.
Interesting area you're headed to. Shoot me PMs if you have any specific questions. Chief can back me up on this...best Mexican Food in Las Cruces is at My Brother's Place.