how much time ya got? - with a good day, of not sight seeing in SA, I'd head to Hill Country - there are three roads that make a triangle - the three 3's its called - 333, 335 and 337 I believe - goes through Lost Maples National Forest, and some of the best riding in Texas. - a bit of a ride out there, but once your there, its awesome.
If you need to stick closer - head out to Luckenbach - after all, everyone is someone there!
either way, you can't go wrong if you don't stick inside the city.
If you find yourself North of the city on 281, look up the shade tree bar - forget the town, but west of Canyon Lake area - very biker friendly, and host lots of events (and good burgers to boot)
2-kewl