if Texas has a hog problem its their own fault, there is no shortage of hunters that would decimate the hog population. The problem is Texas allows property owners to charge to hunt hogs and they make a ton of money doing so. Its a huge industry there, so I cant imagine any legislation would pass easily to outlaw it. They also sold off all their public land.
We have feral hogs here in Oregon, but its against the law to charge someone to hunt them here. Its open season year round, no tags no limit. Suffice to say its extremely rare to see a hog out here.
I see your Oregon system is working well. The distribution of hogs in Oregon has expanded greatly in only a few years...
2012 Map
http://ohiodnr.gov/portals/0/images/invasives/national-swine-map.jpg
2015 Map
http://swine.vet.uga.edu/nfsms/information/maps/swineDistribution2015.jpg
Considering how recent your problem is, that is pretty darned dramatic. Oregon didn't have any in the 80s and now look at it...
https://www.qdma.com/wp-content/uploads/2016/08/Feral-hog-distribution-2015-qdma.jpg
Charging to hunt hogs actually has allowed people to hunt on more lands than would otherwise be open for hunting. Texans are no different than Oregonians when it comes to letting strangers hunt on their land. The answer is usually NO unless there is profit to be made.
Oregon has also made it a law, as of 2009 that hog damage and sightings of hogs are supposed to be reported and that it is the legal responsibility of landowners/managers to rid feral hogs from lands under their control.
Landowners and land managers are
required to contact their local ODFW office
within 10 days of discovering feral swine
on their land. They, then, have 60 days to
submit a feral swine removal plan
to the department for approval.
http://www.dfw.state.or.us/conservationstrategy/invasive_species/docs/Felal_Swine_Brochure.pdf
Feral hogs are a problem in every state where they exist, including Oregon. Y'all are lucky in that your problem is fairly new and small and maybe you can nip it early, but so far, y'all don't appear to be winning that battle, either.
If there was a commercial processor that could buy the hogs and put them on the market, I'm sure they would be hunted much more aggressively. Most hunters will not shoot an animal for the heck of it and leave it to rot. There is only so much meat one really needs. Now if we were able to market natural pork, I believe we could make some major headway. Hopefully it would drive down the cost of bacon!
There is a very good market for feral hog meat and we have inspection and buying facilities all over the state for LIVE hogs. Hogs are considered to be livestock and regulated as such when it comes to the sale or distribution for public consumption. The animals must be first inspected before slaughter and afterwards just like farm pigs and cattle.
As for not shooting an animal and leaving it to rot, hunters do it all the time with animals that don't like, often categorizing them in some derogatory manner (e.g., vermin, pests, etc.) such as coyotes, foxes, bobcat, raccoons, opossums, armadillos, stray dogs, feral cats, beaver, nutria, snakes, mountain lions, squirrels, etc.