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China Eastern Airlines via Orbitz have low roundtrip airfares from New York (JFK) to Bangkok, Thailand (BKK) for $ 506, 1 stop in Shanghai.

Check date availability on Google Flights [google.com] and use those dates to book on Orbitz [orbitz.com], free cancellations within 24 hours of booking

Outbound travel are scattered dates in Oct and many selection available for November 2016.
Return flights include December, January, February, March, April, through mid-May.