I don't see why Daviddem is suggesting opponent has to fold 1/3rd of the time. Unless he means 1/3rd of 1 hand.
That's because of post #15 above, where I found that shoving is better than checking behind IP if opp folds at least 30% of his checking range to a shove.

Not sure where you are getting "EV of a call = -1.64 and Villian is only calling with 9 hands." What bet are you talking about that we are calling here? And where do you get 9 hands for villain's calling range? He has 45 combos in his calling range if I counted correctly (12x AK, 12x AQ, 12x AJ, 3x 33, 3x 55, 3x AA).