You will have better luck getting into INC or HKG. We go to SIN but you can't count on it and it is usually through SYD.
main web page
Atlas Air Worldwide Holdings
click on Atlas or Polar main page and then Jump Seat request
Atlas Air, Inc.
I don't know how to check the schedule. I am on mil leave and am a bit out of the loop. Maybe someone else can chime in.