Looking at the regulations I am not clear on camping on State lands in New Mexico. I see where it states you can scout up to 18 days prior and can drive on established roads. I did see something about designated areas, but wonder about remote areas.
Good luck getting proper written permission. The leasees have always gone out of their way to make my hunts on state land less than enjoyable. I think they pay like a penny per acre and think that covers all the game residing there as well.