Where to hunt deer in west Texas

Hey I'm new to El Paso texas and trying to find a public hunting area for big game in west Texas maybe 4 to 5 hours out side El Paso and is the wma only for draw hunts? Please help I really wanna try some west Texas hunting so if you know ANY public area where you can show up and hunt let me know

I'm looking to book a hog hunting trip. Any suggestions on a good semi guided/guided hunt near Dallas that's not expensive. I'm willing to travel up to 2hrs max.

http://www.tpwd.state.tx.us/huntwild/hunt/public/lands/maps/