| Cheap Flights: Austin to/from Coxen Hole, Roatan, Honduras $340 r/t [February-March] â American Airlines American Airlines has round-trip flights from Austin (AUS) to Coxen Hole (RTB) for $340 with a connection. Flights February to March. Very few weekends available. Origin/Destination reversible. Click for more details and booking links Cheap Flights: Austin to/from Coxen Hole, Roatan, Honduras $340 r/t [February-March] â American Airlines . | 