'technically' on land I own? This is a paragraph from the small game rules and regulations for New Mexico--

"Rabbits and Other Nongame Species:
Common nongame species include coyotes, skunks,
rabbits and rock squirrels. Residents are not required
to have a hunting license to take rabbits or other
nongame species. Nonresidents must have either a
nonresident, nongame license or any current New
Mexico nonresident hunting license.
Nongame species may be taken on State Trust Lands
opened by easement by persons holding a valid

hunting or trapping licenses for protected species on
those lands during the individual's hunt or trapping
season. Nongame species may also be taken on U.S.
Forest Service and BLM lands open to hunting."