Eagle Peak is a great outdoor range. I used to shoot there all the time when I lived in Austin. They're friendly and run a safe range without being 'nannies' about it. Ten bucks for the range card, plus ten bucks a day, shoot as many guns as you like and as long as you want. Heck they'll even let you use a 4-wheeled cart to load your guns into, to bring them from your truck to the firing line. There's a gun shop inside the building and they have ammo, targets, accessories, loading supplies and equipment, a CCW classroom, and a real heated restroom.
There's also the Hill Country Rifle Range out by Hamilton Pool. No range card or member fees, only $5 to shoot plus I think a couple bucks extra each gun. Full auto is apparently fine and dandy there. They have a plinking range where you can shoot at metal pigs and chickens, and if you've never seen a line of metal pigs and chickens falling to the onslaught of TWO machine guns going simultaneously, you're missing out on one of life's rare treats. My wife loved to shoot at this range for the plinking range alone, though she could have done without the full auto. Otherwise it does not seem to be as well run as Eagle Peak, you're kinda more on your own and the facilities are not as kept up. No gun shop that I ever saw, no store, and the restrooms are some porta-potties about 500 feet away from the line. Hey the restroom thing is important if you're bringing the spouse, for sure.