Here's a start, for clay targets:
1. ASC, Westhimer and 6. West side of town. Public
2. West Side Shooting Gounds, near Katy Private
3. Greater Houston Gun Club, South West, McHard Road Private
4. HotWells, North West @ 290 and about 6 Public
5. Carter's Country, North Treshwig Road and Cypress Wood Dr. Public
6. Pecan Meadows is EAST of Houston, at Hardin, Texas. FM 1960 to Liberty--look up directions on thier website.
Check out Shooter's pages:
http://shooterspagetx.com/
There are ranges in Conroe and Tomball also.