That part of Texas is rich in all kinds of game, from dove, quail, turkey, WT deer, wild hog, javelina, the list seems endless, plus there are exotics there also.
In Texas, since we are about 97% privately owned, it is mainly lease hunting. The state has developed a number of public hunting areas around the state. Given a little time I would imagine that he will be able to find a place to hunt, it most likely will cost but that's the way it is. There are "day hunts" available also.
Folks on this forum will be able to help quite a bit, lots of Texans here. Best of luck.