American Airlines has round-trip flights from Austin (AUS) to Bogota, Colombia (BOG) for $366 with a connection. Flights in May, August, September, October, November, December, January, and February. Extended weekends available. Origin/Destination reversible. No Christmas dates available.
JetBlue has round-trip flights from Austin (AUS) to Bogota, Colombia (BOG) for $364-$378 with a connection. Flights in July. Departures on Monday, Tuesday, and Wednesday. Origin/Destination reversible. Limited availability.
You may be able to save about -$13 by booking the COPA segment of this trip on COPA’s website and paying for the fare in Colombian Pesos with your credit card, but that may not be worth the hassle. Up to you.