United and American Airlines have round-trip flights from Austin (AUS) to Vail (EGE) for $229-$239 with a connection. Flights January to February. Departures on Monday, Tuesday, and Sunday.
Priceline has “Express Deals” for about $188. With “Express Deals” the airline and exact flight are hidden until after purchase and those purchases are final. There is no 24-hour free cancellation for “Express Deals”. The flight is guaranteed to be on a major airline. Be sure to select the deal with 0 to 1 stops and a layover less than 3-hours.