| Nonstop Flights: Austin to Cancun $186-$228 r/t [October-November] â American Airlines American Airlines has round-trip flights from Austin (AUS) to Cancun (CUN) for $186-$228, NONSTOP. Flights October to November. Very few weekends available. Click for more details and booking links Nonstop Flights: Austin to Cancun $186-$228 r/t [October-November] â American Airlines . | 