Feral hogs are non-game animals with no season. New Mexico residents do not need a license to take nongame species but nonresidents need either a Nonresident Nongame License or a current nonresident hunting license to hunt them.  Doubt if you'll find any up around Red River, though.  They are mostly coming up from Texas through the Pecos River valley watershed.  Some have made it farther west into the mountains around Ruidoso.  Coyotes are basically everywhere but they too require some kind of license.  Don't know about any trails up that way. You'll be coming during big game season so I'd be careful about using a night vision scope without first checking with the local game warden.