That's a good question. The two best I've been to are the Hank Haney ranch off Mopac just north of 183 and the old reliable Oak Hill driving range. I also go to Lions a lot and hit balls there, but it's a no woods range. But at least that makes me practice the short game more. Someone needs to put a good range in Central.
I belong out at Great Hills, so I go there a lot, but other than that I agree with cbs, Hank Haney's place on Mopac at the Braker (?) exit, just north of 183 is a good range. Usually they have good grass, because they move the teeing area around a lot.
The only one left in South Austin with lights is Oak Hill. It's ok, but it seems like I'm either hitting out of 2" long grass or no grass at all. I'll drive to GS or HH if I have time.
The range at Kizer/Clay is usually alright, but it's only open till dark.
Went to hit at Oak Hill last night. Should have a hell of a game if I ever get in trouble in the bunkers because dirt was all there was to hit off of last night......******.