| Cheap Flights: Austin or San Antonio to Tahiti $874 r/t [March-June] â United United has round-trip flights from Austin or San Antonio (AUS, SAT) to Tahiti (PPT) for $874 with a connection. Flights departing Austin are in June. Flights departing San Antonio are from March to June. More availability via San Antonio, but with longer connection times. Click for more details and booking links Cheap Flights: Austin or San Antonio to Tahiti $874 r/t [March-June] â United . | 