| Nonstop Flights: San Antonio or Austin to/from New Orleans $98 r/t â Southwest Southwest has round-trip flights from San Antonio or Austin (SAT/AUS) to New Orleans (MSY) for $98, NONSTOP. $49 each-way. March to June. Mostly on weekdays. Origin/Destination reversible. Note: You can save an additional $150 if you book your Flight+Hotel together as a package on Southwest Vacations and use the MARDOM150 coupon-code. Before you commit, always compare the prices of the individual Flights and Hotel with other hotel booking sites like Tripadvisor or Expedia. Note: Southwest doesnât charge a change-fee, so if you already booked this flight, but paid more, you should be able to re-book at the lower price and get the difference paid back to you in the form of a travel-voucher. 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. Read More Nonstop Flights: San Antonio or Austin to/from New Orleans $98 r/t â Southwest . | 