Take a weekend break in SIN with a one way award ticket. The cost of the return from SIN will be less, especially if a round trip can be considered. And add the codeshare flight to another east coast city to keep the BA sector count up. As well the exSIN prices to "other places" is normally less as well.
Alas that assumes the continued reluctance of the AUD to go below about US$0.75-0.80.
Happy wandering
Fred