I agree regarding Woven flesh, there need to be more good unique equips with crit avoidance - or perhaps BASES with that kind of thing. It should also be rollable on chests, amulets and relics the same way set resist is.
Though I do have a shadow cascade that does not run resist/dodge/armor affixes(any in the build are purely coincidence) that is safe enough to consistently farm lv 100 Monos. Then again it has health affixes in every possible slot(and woven flesh of course, it is BiS for the build).
So I would not say set resist is a mandatory choice. Crit avoid definitely is though and needs to be fixed.