(Grunch, 'cause all the math and stuff took so long the thread is probably solved and dead by the time I have something to say
)
It's hard for V to call the flop without either an A or the Kh or Qh. He would likely raise his sets and probably 2P or made small flushes so his range is somewhat capped.
Turn is a complete blank. It scares his heart draws. His ace is roughly indifferent since he doesn't know whether he's ahead or behind.
Shoving the turn puts him to a difficult decision. If he has an A, he's dead behind a made flush or set, behind 2P, and ahead of any combo draw (but still losing equity to those hands). My first thought is that I like the move. Mostly because any time you put V to a difficult decision he has the opportunity to make an expensive mistake.
Then I turned to Flopzilla. I assumed a button raise with any broadway, any pair, any ace, 98o+, 54s+, 75s+ K9+. That's a pretty loose raising range (about 31%), but he sounds somewhat loose and he's OTB.
Assuming he continues past the turn only with TP+ or either the Kh or Qh, we have about 24% equity against his range on the turn. I was surprised it was that high, but I checked it several times. Note this leaves his turn range uncapped.
If he folds as little as 16% in this case, the bluff is breakeven. That really surprised me.
To back it up:
He folds 1/6 the time. We win 220 / 6 = 37.
Our equity if called is roughly 25% * (185 + 220) - 75% * 185
Or 100 - 140 = -40.
He calls 5/6 the time.
5/6 * (-40) = about -35.
QED.
About 60% of his hands OTT are TP. If he'll fold those even one-third the time, we're in great shape.
My initial impression was wrong. I don't like the move. I love it.
(I did a quick check of how much our equity varies if his opening range is tighter. It's remarkably inelastic, since the flop action dominates the preflop action. Basically, regardless of his pre range, assuming he's continuing only with A or Kh/Qh is what really matters.)