I haven't played anything spectacular in San Antonio (I've seen ~20 courses). Brackenridge is fine and has some nice holes, but I heard it is in pretty rough shape this summer with the Texas heat and draught. I don't know if I would seek it out, but if you're in town it's a pleasant course. The other Tillinghast in town is Oak Hills, which is very nice and private if you're able to get on there.
If you're willing to pony up, I like TPC San Antonio. Both courses are better than La Cantera in my opinion. Probably not worth the $300 or whatever they want these days, but it's the best public I've seen in the area (haven't played the Quarry).