As far as I know, LHR crew don't usually end up in Oz. The flight is handed over to an Oz based crew in SIN/BKK/HKG. If you're really keen to get home, you may need to wait until QF recruit again for QCCA.
Other than that, JQ just had a recruitment drive for DRW. That will probably come up again. Strategic are also recruiting for DRW and PER.