Wirelessly posted (BlackBerry: BlackBerry8530/5.0.0.1030 Profile/MIDP-2.1 Configuration/CLDC-1.1 VendorID/417)
It sounds like AA is doing everything it can with CX, so you may be stuck. AA cannot force CX to open up award space on flights that you find more desirable.
Have you asked about award availability HKG-BKK on either RJ or UL? (Don't know if those flight times are any better for you.)
Are there any better award routings available via TYO on JL?