I dealt with hogs when I lived on 200 acres in far north Texas. I learned a few things... don't put out feed to attract them. It's fun to shoot hogs, but you won't reduce the population by any significant degree. Unlike deer, you shoot at hogs a few times and they'll leave your place, and may be gone a few weeks, but they'll be back. I never tried trapping and killing, but it seems like it would be more effective than shooting untrapped hogs. Short of a hog epidemic, it's hard to imagine a really effective way of getting rid of them.
After attending a seminar and slide show presentation by a government hunter years ago, I'd never eat wild hog meat again. They can carry lots of foul diseases and they eat dead stuff. Sure, cooking can kill most or all that's dangerous to humans, but the thought of eating the meat of such a nasty critter doesn't sound very appetizing.