Muleshoe is a great place to do a few laps, regardless of the weather. After a rain, Muleshoe usually recovers in a little over 24 hours. The park is essentially a large loop with a road that runs down the middle. Even if you get halfway around a loop and want to cut out, there is a place to bail and get back to the trailhead.
Muleshoe is about 45 minutes from downtown Austin. Be sure to be watching for wildlife as you ride. I've never met a rattlesnake, but I have had several encounters with deer; one almost took me out on a downhill once.
Location: Spicewood, TX
Directions: Take highway 71 west of Austin until you see the sign for Paleface Ranch. Take a right on Paleface Ranch Road. Follow that a few miles and veer to the right on County Road 414 (there is a sign for a gas station). Follow that road a mile or two into the park.
Technical Level: Low to medium
Shade: Good cover, a good place to ride on a sunny day