Don't know all the details first-hand, but yes QF has beds in FC -- their FC is supposed to be excellent overall. I think there are only 12 or 14 FC seats per plane, and they're apparently hard to come by for reward travel for one person, let alone 3, as they do sell these seats. Most of the previous discussions have focused on LAX-SYD, which may be more difficult than to MEL or AKL.