Of course if you want to fly business class to Hamilton Island using your "D" RTW, you could try going through Brisbane. QF746 from BNE-HMI uses a 737. But will depend on the number of "segments". Does SYD-BNE-HMI count as one segment if no BNE stopover?

This must be the route being offered by the Channel Nine cricket competition since they are offering a prize including business class flights to Hamilton Island.