Turkish Airlines has round-trip flights from Los Angeles (LAX) to Doha (DOH) for $870 with a connection. Flights September to January. Departures on Monday, Tuesday, Wednesday, and Sunday.
Some small OTAs on Skyscanner and Google have this for $827; cheaper than the airline. If you plan on booking there, beware of any site that charges a fee to cancel a ticket within the 24-hour “free” period. Use unknown booking sites at your own risk.