with regards to the sizing issue - if hero was not going to call a 5bet or 5bet shove, then the 4bet was too high. If he was planning on calling the 5bet or even 6bet shoving, then the sizing was fine.

It's kind of a leak when someone makes that size 4bet then considers folding to a 5bet (or didn't know ahead of time what he is going to do to a raise). If we were not planning to get it in to begin with, then the bet was too high.

Grunching most of the thread.

This is one of the rare times I would advocate folding KK. You've made it abundantly clear that you have a strong hand and still got shoved on. You basically turned your hand over as AA/KK and still got shoved on. Spare me the "we're exploitable" and "we're face up, he could be bluffing". He's not bluffing. Count for me the times someone has put in a raise PF for 140bb and it was a bluff. Hell, count the number of times someone has put in a 5b for >2x the 3b and it was a bluff. This is AA almost always. DO NOT SHOW YOUR HAND.

Also, for those saying the 4b was too big: Pot is $145 when it gets to us. Raising to $250 is a raise of $165 (to win $395) when it gets back to the 4b. Raise size seems perfectly fine.

FWIW, I'm flatting you if I'm V.

Doing anything but folding to the shove is burning $$$. How many times have you shoved this massive amount over a 4! and it's less than AA or KK. What villain is doing this with QQ or less?

Also the OP's sizing is generally fine.