jbalmuth, your advice worked perfectly. I figured out which flights I wanted online, called in to BAEC, and had the agent book them. I even had to correct the agent when she said there weren't any flights available on the day I wanted.

I now have two one-way JFK-HKG-BKK on CX in J for 100,000 miles with a two-day stopover in HKG so we can explore. That is amazing value. I'll get the return leg as soon as the dates become available.

If you are ever in the Philadelphia area, let me know so I can buy you a drink. Thanks again.