Austin area has been a hard place for a long-stay spot since 2012. We live an hour west of Austin, and there are plenty of parks in this area (Fredericksburg, Johnson City, Blanco, Hensley,...).
Our Hill Country location is an hour west of Austin and an hour north of San Antonio, so you have two excellent big-city choices. We do not really need to get into Austin much, given the towns around us - Marble Falls, Dripping Springs, Fredericksburg, and Bullverde.
Recommend checking the parks in:
Camp Ground Reviews
Daily commute would be tough coming in from the west, if that's a requirements.