TIGER Valley is more northeast of Ft Hood actually....other side of Waco and a bit further east.
Good luck finding anywhere "uncontrolled". Closest thing you'll find to that is Stan's (formerly Tony's) on 183 near Florence, but they were doing a lot of construction last time I was there and most of the range was closed. They have a small pistol pit, 150 yd rifle (benchrest only) and there was a 100 yd range being built at one time but that was a construction mess when I was there last. No real RO presence, you're on your own once you pay your money.
Or you could go to Hill Country down near Austin, but then you have to deal with "Crazy Richard". If you go that route, just pay your money and do NOT attempt to engage him in any sort of conversation....I haven't been there in a couple of years but when I was there, the guy just stayed in his trailer all day, no RO's there either.
If you're just looking for open land to go out and shoot on, you won't find it unless you know a landowner. Most of Texas is privately owned, we don't have the big expanses of BLM land like they do out in places like Arizona where you can drive out into the desert far enough away to get away from people and just go blasting.