The real solution to lee.
Add a focus cost to his ultimate. Probably 70.
Make his Q cost 20 more focus and give him 15 back if he hits it and 15 if he takes it.
Really the only solution is to make him mathematically unable to W to a ward press R and still cast Q before they can flash.
Let me close by saying IF LEE HITS HIS Q BEFORE HE GOES IN HE SHOULD BE ABLE TO KILL YOU! If he ults before Q he better have flashed on you or you made a mistake and let him walk to you. If he ward hops R's and then he wants to Q he should have to wait at least 1-2 seconds.
His damage IS ACTUALLY REASONABLE ESPECIALLY WITH THE ULT NERF!
The problem is that unavoidable damage generally is lower. If his damage was avoidable it would be tolerable.