United has round-trip flights from Austin (AUS) to Singapore (SIN) for $629 with a connection. Flights midweek, March to May.
Delta is having a limited time sale for reward redemption flights to Asia (see list in post). Fares start at 49,000 points/miles round-trip. Taxes and fees will be about $52 round-trip. Flights between January 10th to March 3rd. Deal ends tomorrow at midnight December 14th 2016.