| Nonstop Flights: San Antonio to/from New Orleans $78 r/t [April-May.2021] â Southwest Southwest has round-trip flights from San Antonio (AUS) to New Orleans (MSY) for $78, NONSTOP. $39 each-way. April to May 2021. Friday departures and Sunday returns cost +20 more each way. Origin/Destination reversible. Southwest does not charge any change or cancellation fees. Want a notification sent straight to your phone when any new deals are found? Join our Telegram channel and never miss another deal. We donât charge a subscription fee. All of our deal notifications are available for FREE via Instagram, Facebook, Twitter, Telegram, our Webpage, and our E-mail list. If you are paying someone a subscription fee for our content, you are being ripped off. We send out a daily recap of every fare that is priced less than the 9-month moving average to our Patreon Supporters. If youâre interested in our analytical content, consider supporting our work on Patreon. Click for more details and booking links Nonstop Flights: San Antonio to/from New Orleans $78 r/t [April-May.2021] â Southwest . | 