| Nonstop Flights: Austin to/from New Orleans or Tampa $117 r/t [August-November] â American Airlines American Airlines has round-trip flights from Austin (AUS) to New Orleans or Tampa (MSY, TPA) for $117, NONSTOP. Flights August to November. Very few extended weekends available. Origin/Destination reversible. Click for more details and booking links Nonstop Flights: Austin to/from New Orleans or Tampa $117 r/t [August-November] â American Airlines . | 