Is your voucher the type that is purchased for a 5 day hunt of your choice? I hunted in New Mexico about 10 years ago, and used a landowner voucher. I was able to choose any 5 days between early October through January. My job only allowed me to make it out west during Christmas break, so I tried it. Decent hunts both years I went, got a small bull followed by a cow.
I'm thinking of returning to New Mexico for another late hunt in the next 5 years, work still can put limits on when I can hunt elk. It is nice option for a teacher.