| Cheap Flights: Austin to Saint Thomas, US. Virgin Islands $258 r/t [March] (4-hour connection) â American Airlines American Airlines has round-trip flights from Austin (AUS) to Saint Thomas (STT) for $258 with a connection. Flights in March. No Weekends. Departures on Monday, Tuesday, Wednesday, and Thursday. Connection times are longer than we would like, but this may be worthwhile for you at this price. Click for more details and booking links Cheap Flights: Austin to Saint Thomas, US. Virgin Islands $258 r/t [March] (4-hour connection) â American Airlines . | 