HI there
Am looking at booking AONE ex Riyadh and have provisional routing of

RUH-AMM-MCT-LHR-LAX-ORD-MIA-BDA-JFK-HKG-HND-SIN-SYD-WLG-MEL-HKG-RUH
or if you prefer
Riyadh-Amman-Muscat-London-LA-Chicago-Miami-Bermuda-New York-H Kong-Tokyo-Singapore-Sydney-Wellington-Melbourne-Hong Kong-Riyadh


I have to go to London, Bermuda, New York and Wellington but other than that am happy to consider any options which might increase total mileage - ideally on routes with F class.
It currently stands at 45,000 miles.

And the fuel surcharge is coming in around 400 US - any ways to reduce this..?
The online booking tool books the ticket on AA ...

Many thanks in advance.