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.
There's no doubt that a quality photo from a hunt or a special harvest we have made adds immensely to the memories of that hunt that we take from that day forward. Having a picture framed sitting on our desk at work, mantel at home or stuck on a dresser in our bedroom can take us back to that special time and place in an instant and that's something very special. Some hunters enjoy a mount hanging on a wall, and all the memories it keeps inside it's furry or feathered exterior. Some don't...