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Haven't been able to find a QF codeshare flight to Guam in the Qantas worldwide timetable.
The Cairns-Guam flight with CO would be around AUD$850 + taxes. If you then add on cost to get to CNS would also probably be the most cost effective as well as the quicker option.
Another option would be QF19/20 SYD-MNL and then Phillipines Airlines to GUM which is around AUD$430 + taxes. If you can get to MNL with points then it makes this option viable.
Don't get me wrong as Guam is a beautiful place, though I (personally) wouldn't make the effort from Aus with poor connections. I would make the effort for the Maldives on CX via HKG, or Bora Bora if I had AA miles to burn.
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