| Nonstop Flights: Austin to Palm Springs $136-$147 r/t [January-March] â American Airlines / United / Alaska Airlines American Airlines, United, and Alaska Airlines have round-trip flights from Austin (AUS) to Palm Springs (PSP) for $136-$147, NONSTOP or with connections. Flights January to March. Departures on Monday, Tuesday, Wednesday, Thursday, and Saturday. Extended weekends available. Carry-on bag is allowed for free on American and Alaska Airlines. American fare is Main Cabin, with seat selection included. Click for more details and booking links Nonstop Flights: Austin to Palm Springs $136-$147 r/t [January-March] â American Airlines / United / Alaska Airlines . | 