| Nonstop Flights: Austin to/from Cancun $156-$160 r/t [October-November] â American Airlines American Airlines has round-trip flights from Austin (AUS) to Cancun (CUN) for $156-$160, NONSTOP. Flights October to November. Very few extended weekends available. Origin/Destination reversible. Click for more details and booking links Nonstop Flights: Austin to/from Cancun $156-$160 r/t [October-November] â American Airlines . | 