Southwest has round-trip flights from Austin (AUS) to Los Angeles (LAX) for $106-$116, NONSTOP. $58 each-way. Flights from January to February. Mostly midweek. Origin/Destination reversible.
Note: You can save up to an additional $125 if you book your Flight+Hotel together as a package on Southwest Vacations and use the ‘125DOM19’ coupon-code at checkout