After being grounded for three years, I've got the flying bug again. Having previously enjoyed a RTW trip, I'm currently finalising the dates of an another one. It's an AONE4 sarting in TYO, with the likely routing of

HND(A)-xBKK-HKG-xSIN(A)-SYD-xBNE-APW//NAN-SYD(A)-SIN(A)-LHR(A)-DOH(A)-LHR(A)-SEA-SFO(A)-JFK(A)-HND

My best attempt of this in SABRE speak (using JL):
WQHND/AJL14SEP/CA/XBKK/ACX/CDHKG/ACX/CD/XSIN/AQF/CASYD/AQF/CD/XBNE/AQF/CDAPW/-NAN/AQF/CDSYD/AQF/CASIN/AQF/CALHR/AQR/CADOH/AQR/CALHR/ABA/CASEA/AAS/CDSFO/AAA/CAJFK/AJL/CAHND-B01JUN23/RW/MGBP/VJL


I am pretty certain of the dates have confirmed availability using ExpertFlyer. Now I have to book the thing. I've tried the OneWorld RTW tool and (unsurprisingly) it was unable to price up the exact route. What would be the best option for a UK based person to book this?

As there's a lot of QF and QR flights in the itinerary, avoiding excessive YR/YQ is a priority. Will the booking airline affect this?

Cheers.