How do I deal with Eureka Anemos?

[Bonbori]

Also, you only get Protean crystals from chaining enemies, and without them you're not getting the relic weapon.

Not entirely accurate. You can exchange Anemos Crystals for Protean by talking to Gerolt. I've gone through all of Anemos without chain-farming crystals even once. You can also buy Pazuzu Feathers from another vendor at the camp. I believe both options were added around the Pagos patch.

I attempted to do logs a few times and I think I got a few crystals out of that, but as a latecomer myself, I found it incredibly hard to find enough low-level people to do that with. And that was still months ago. At this point I assume it's just impossible.