Cary,
I'll throw another course at you for consideration, The Republic Golf Club. It is located near Pecan Valley, south side of town about 10-15 minutes from the Riverwalk downtown. It's pure golf set along Salado Creek. It's a lot of fun to play with wide fairways, multiple options of play, large undulating greens and very good conditions. I believe the greens, tees and fairways are all overseeded right now. Should be on anyone's must play list in San Antonio as it is the number one ranked course in all of San Antonio two years running now, according to the annual San Antonio newspaper poll.
If you want a stiff challenge, The Bandit is located in New Braunfels, between Austin and San Antonio. The Quarry is a fun, unique experience, especially the back nine, which lies completely within the quarry walls.