How can you have such a big problem with this?

Even for A4 where a lot of players want the Shaft, I've never been in a group where everyone wants the same loot. There's 2 chests, 3 possible drops...

Just join/make a PF for farming until everyone have loot. Never done more than 7 runs that way, and maybe that's being a little lucky, but unless everyone wants the same drop, it shouldn't really take too many runs.

You have a whole week to get the drops you want, and so far it has taken a fraction of the time it took to get what you wanted from CT...

Best way is to just use PF like that, then run with your FC or something later on in the week to secure those last couple of drops for a couple of players.