Poker Trying to improve my hand ranging skills and math

I have a specific example, but I've been working to improve my opponent hand ranging. Specifically doing the math quickly on the spot.

Example:
$50 $85k gtd. On Bovada
10k starting stack
Hero on Button has 9300, villain UTG has 14500
(History: I had folded to a check raise in roughly the same position 9 hands earlier.)

Blinds 75-150,
Villain raises to 330
Folds to hero who raises to 962 hold QhQd
Villain calls
Flop: Js, 8s, 8s
Villain checks
Hero bets 1096
Villain raises to 3440

Do I shove or fold?
After doing some brief math against his 3 bet calling range I figure I am against 19 hands that dominate me, 30ish that I dominate and a lot of semi bluffs that I am ahead of that should not call a fold.
I figure that against this whole range I'm over a 50% favorite, plus the fold equity of shoving. So I did. Is this math and line of thinking about right?

Source.

 

There is only 9% chance your behind here, it looks like he's trying to get you off the hand like before ( check raise ). If you shove even if he has KK AA you will scare the life out of him.

 

ICM may dictate a fold. ICM the chips you win are worth less than chips you have. That is a very wet board!
You may have used those chips for a better situation.
??