Saw that the latest rules now have Fiji Airways added:
First / Business / Economy RTW / Open Jaw travel via AA/AS/AT/AY/BA/CX/FJ/IB/JL/MH/NU/QF/QR/RJ/UL operated services worldwide
Along with HA being absorbed into AS next year, constructing a route is going to be even easier - just add a stopover in Fiji, or Hawaii, with plenty of connections to both!