https://wrathraidcomp.com/
Ok so it's not quite as bad as I thought, although I think there's 1-2 buffs that were normally tough to get.
So with a
--Blood DK and Prot pally tank
--Resto druid, Disc priest, Resto sham, and Holy pally
--Fire mage, Affliction lock, Boomkin, Shadow priest, Combat rogue
That gives all but 6 of the buffs right there, with 14 spots remaining to pick up the other ones. One configuration that gets the rest are Beast Mastery, Fury war, Cat, and Elemental Shaman. Still with 10 spots left over.
I also don't remember Rapture and Revitalize giving resources to the player, guessing that's probably really important.