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.
I had the idea of calling antelope, never had heard one before and this was my first antelope hunt and archery one to boot. I know it sounds crazy to most hunters calling a antelope but I just had it in my head that I was going in the middle of the rut and they have to have some kind of vocalization at this time of year. Mention antelope hunting and calling in the same breath, well the old timers thought I fell off the rocker and the bets were on!The knowledge about antelope hunting and...