campground near 500 E Cesar Chavez St Austin TX

Lone Star is the closest. Crestview is iffish -- pretty crowded. If you can stand the drive, there are a number of very nice RV parks out 71 towards Bastrop, be it the newer ones like Lost Pines or ones that have a bit of character and a small ranch like Bastrop RV park.

Lone star is about $50 a night, but everything in Austin is hyper-inflated when it comes to lodging. Just make sure to get reservations. I'd probably go that route.