Carl,
I actually played Black Mesa last mid-November and it was 65 and sunny, perfect day to play. A week later we did get snow in the mountains and it was 45 and rainy in town. Stick to the first half of the month and you'll be fine; the second half and you're taking your chances anywhere in the area. I'd have a hard time recommending the visit if you couldn't play the courses at elevation. Plus, Albuquerque is 5,000 feet give or take, so its all at elevation essentially.