Welcome to BGH,
As you can see there are a lot of folks around here looking for New Mexico advice. Stick around, maybe someone will pop up for you. All I can offer is how I would hunt the area, but never have.
Looking at the unit, the first thing I noticed is the number of roads. It's kind of difficult to find a spot that won't have much traffic. It seems to me that the Canjilon Mountain area might be your best bet for a combination of water, cover, food and roadless space. It's fairly high elevation, but as gentle as ground will likely get in elk country (elk don't like to work hard either). So that's where I'd start.
How many of you out there keep a journal of your hunting trips or outings? I started to about 20 years ago and then moved them from a journal to a story that I will send out to my friends so that they can enjoy the time as well. I'll aslo put into the journal the scouting trips that go along with the hunts of limited or once in a lifetime hunts.
I have found that if you buy a small notebook that fits into your shirt pocket and take it with you when you head out is the...