I grew up in Hobbs New Mexico and I have never seen a pig in the whole lea, eddy county area. But I have been gone for about 10 years so things could have changed. Lots of dear, quail, dove, coyotes and the such though.
I'm from Carlsbad. The pigs are mainly located around the Pecos River. Best opportunities to harvest one will be late evening near the water, as they only leave the thick brush about sundown. During the day you will have to hunt the thick stuff along the river or the big ravines that run down to the river. In the thick stuff, use a shotgun with slugs and buckshot for close range work. They are fast and the salt cedars are pretty thick. I have a buddy that hunts them with dogs and they have had quite a bit of success. But he's a maniac and kills the pigs with a knife while the dogs hold the pig. Good lluck in finding some. Hunt the 7 revers area up-river of the WMA. The salt cedars are thick in that area, but there are a bunch of hogs up there. Go right after a rain or snow and the sign is easy to spot and tracking has a better chance of success. With the number of pigs in the area, determining the freshest sign (ie. right after a rain or snow) is a big help.
Rather than spend my hard earned pennies on those cool Shoot-N-See targets or even the preprinted targets at sporting goods stores, I save a few bucks for weekend plinking sessions by using paper plates as targets. A 100 count pack of paper plates costs less than a 10 count pack of preprinted targets.
If you are playing with something like a semi auto AK, or building a young shooters confidence with a 22 or shotgun, those big eight inch blanks are perfect for putting holes in all...