YES, you can have a stopover in London or Tokyo on the way to/from.

Having said that there is a business seat on Sep.3
LAX-ICN-SIN-DPS OZ/SQ/SQ
as well as
LAX-ICN-BKK(overnight)-DPS OZ/OZ/TG

On the 17th there is DPS-BKK in Economy, overnight, followed by BKK-LAX on TG on the 18th.
Alternatively, you can buy your own $100 ticket to BKK from DPS on the 17th/18th to catch the flight to LAX.

Check Aeroplan.com for more options than Continental.com gives.