Very nice weather in Austin IMHO and some great driving roads. You will find Wimberley, Blanco, Fredricksburg, etc, etc I am sure... Here are a couple of other helpful things:
North Texas Lotus Club on Facebook (Mostly DFW based, but still relevant)
TheDriversEdge.net is a great organization for track days (MSR-H, MSR-C, TWS and COTA) if that is your thing.
Also, get yourself down to the town of Lockhart for some epic BBQ, unless you are vegan, then skip it.
Oh, and just try to stay away from MoPac and I35 ALL the time. I35 is THE main artery of the state and possibly the nation these days. I hate driving that road and it is the worst from San Antonio to Dallas.
Welcome to Texas. I was watching your for sale thread. I think that you will be very pleased that you did not sell the car as the Austin area has some great roads as @jefrac mentioned. They don't call it the hill country for nothing!