Is this primarily just a MR thing? You haven't said where you actually want to stop.
If you want to maximize miles in Oz you could try
jfk-syd-per-drw-mel-akl-hkg
This routing is the best bang for my buck I could find in the Oz segments. The only issue with this is the nasty flight times from DRW.
This takes it to 59701. If you want to squeeze some more from NA then do dfw-sea-dfw instead of bos and come up with 59933.
Cheers
Johnosan