I can see award availability on October 26 (two seats), 27, 29, November 1 (two seats), 3 (three seats), and 4 (three seats) for starters.
In the past couple of years I've flown F on QF, BA, EK, EY, TG, CX, UA, SQ, JL, and NH, and JL and NH would have to be my favourites.