We ended up with a DONE4 of OSL-LHR-IAD-SEA-ANC-DFW-MEL // NAN-SYD-CMB-BKK-KIX // CTS-HKG-TFU-DOH-OSL with stops in all places except Doha at the end.

Booked with BA via email (sent them the itinerary with exact segments) and then when the booking was created had to call to pay. Total was about £6.5k per pax. I probably could have reduced the fees a bit by booking with another carrier but in hindsight I'm glad I didn't. As it was BA-ticketed we were grandfathered into the old system for status earning with them and were less stung by the changes to BAEC starting in April 2025.