Hey, Mason.
Glad you got your tag. Does 40 have much public land? You might need to get a list of landowners from NM G&F and start calling. You should find some nice, reasonable folk who will let you on for a small fee.
I have looked at some maps and there seems to be some public land but not awhole lot. I am going to call and see if I can get a list of Landowners that will let me hunt.