Actually Alaska is a pretty good option especially if you are into nature and enjoy cruises. Do some Halibut or Salmon fishing, after your fishing trip they prepare your catch, flash freeze it and ship it back home. You can avoid the 757 red eye return by doing a cruise from ANC to YVR (yes, it burns a segment of your 16). I am doing this on my AONE3. Generally I am not a big cruise person, but Alaska is the exception to that rule as the ships go to places you otherwise could not get to.
Anyway instead of yoru original itinerary shown below:
SYD-LHR-DXB-xLHR-YVR-JFK-DFW-ORD-LAX-DFW-JFK-HKG-ICN-xHKG-NRT-SIN-SYD (x denotes transit <24h).
Do the following which adds ANC and reorganizes your trip to go to LAX first and YVR in conjunction with your cruise from Alaska. It also adds AUA (Aruba) or BGI (Barbados) in D ex-JFK and removes ORD. If you still want to go to ORD you can get an inexpensive JFK-ORD return:
SYD-LHR-DXB-xLHR-LAX-DFW-ANC-sYVR-JFK-AUA-JFK-HKG-ICN-xHKG-NRT-SIN-SYD (x denotes transit <24h and s denotes surface segment).
Note: My reference to flash freezing your catch and shipping it home only applies to US mailing addresses. Due to customs regulations they cannot ship elsewhere. [edited 10/16/2009]