Thanks 11sjw and ellen10.
I have been successful at loading in a fair few of my initial flights (about half) into the online multi-tool. I've got enough of the trip in there to trigger the oneworld award points-price of 280k. Does anyone see an issue with me booking it initially via this method, and making my changes via phone later to add the remaining flights when they open up? Or is it too risky to rely on the online multi-tool (I.e. saying there is availability when there is none etc).
If multi-tool is the way to go I will go for it asap to reserve those flights online, and save my patience for what sounds to be a frustrating adjustment process in the later stages.