Yes. The place that you would be needing to call would be UA once your miles post. Just give them an idea of what dates you're looking for and they should find some spots for you on the JFK-BKK sectors on TG.

Also, if you're not constrained by time and you're only looking for one ticket, perhaps you may be interested in knowing that you can travel down to SE Asia via Europe. It's 20k more (90 vs 110). Then again, if you're willing to spend a little more time detouring, why not go an additional 10k more and fly F to BKK. Take NH to NRT, then connect to TG to BKK. Sound good? Send me a PM if you're interested in more ideas.