Jamie,
I have a clue as to why you are moving and what job you may be looking at. Good luck and I hope to visit.
My little experience with the southwest doesnt include hunting however, I took a 100 mile backpacking trip in NW NM. The mountains and deserts are beautiful. We encountered a lot of big game species. If I'm correct in your career move, You may be alittle further from that region than necessary to hunt it on a regular basis.
Good luck brother, I hope you keep us posted on your journey.
Walleye fishing is still on the table. Just let me know