I hunt up by Amarillo and the Canadian River, my inlaws have been hunting there for many years and have always filled the tags...Public Land=Good Hunting

To my knowledge there is no public hunting near Austin. I also do not know of any good public lands to hunt Rio's on. Real Estate around Austin is expensive so finding a cheap place to hunt nearby will be a challenge.
Our place is 136 miles north of there and I have a 2-3 day hunt for $600 with lodging included.