There aren’t many tournaments held inside the Austin City Limits, aside from the Longhorn Open Racquetball Tournament, held in January each year and which sold out its 350 slots in less than 1 hour in 2018 (and 11 minutes for the 2019 tournament), making it one of the biggest racquetball events of the year. You can sign up for the Longhorn Open Mailing List to keep on top of all of the news for the event.
There are tournaments held every 4-7 weeks in Round Rock, at the Clay Madsen Recreation Center.
Want to search for sanctioned tournaments in other areas? R2Sports has what you need.