If you dont mind gettting there first...
...dont forget the full fare 'F' ticket CMB-LAX for about 1600Euros (tax in). A friend did one recently ticeted on OZ with SQ codeshare segs. Full fare = date change/ open 1 year. So can theoreticaly buy several and do reverse runs from LAX (outbound end one ticket... return start the next)
Good luck.