Having recently been confronted by BLM idiots on my land (NOT BLM land — I own the title, patented via the State of NM) -— who jumped out with AR-15s and didn’t apologize after making asses out of themselves -— I can assure you there could be an ISIS camp in the middle of the Lincoln County National Forest and these idiots would do nothing about it.
You might want to invest in a good handheld GPS system and then buy the property ownership Hunt chip for New Mexico.
One of our younger relatives is a bow hunter and hunts in New Mexico if he gets drawn and other Western States.
So he has these Hunt chips for the states where he hunts. He has had run ins with armed feds/staties in a few states until he shows them where he/they are. If he has concerns he uses his sat. cell phone system to let someone know that he has an encounter coming up before using the GPS Hunt Chip.
Between the two of these electronic devices, he has resolved quickly and safely some possible bad situations.
This link describes the chips and states covered:
http://www.huntinggpsmaps.com/gps-maps/