If you could ban a champion OR an item in ban phase
There'd be a lot less balance outliers.
Obviously some things should be immune (components, boots, sightstone, and things like BC thatd gut a class with their removal). Maybe some extra rules to stop a team target-banning crit items or something (but in that case there's on-hit builds anyway).
Think about it.

Since you said we cant ban a whole class... otherwise 