4bet pot IP: How to make villain make a mistake?

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4bet pot IP: How to make villain make a mistake?

Blinds: $0.25/$0.50 (6 Players) BN: $47.00
SB: $51.60
BB: $111.36
UTG: $34.43
MP: $58.62
CO: $159.32 (Hero)
Preflop ($0.75) Hero is CO with J T Q A
UTG folds, MP raises to $1.25, Hero raises to $4.50, 3 folds, MP raises to $14.25, Hero calls $9.75
Flop ($29.25) J 7 9
MP checks

I think this hand doesn't need much explaination to this point, other than we play a competent reg (4bet 2,5-4% here).

We kinda have a luxury problem here in that we smash that board really hard with our COvsMP call 4bet range, SPR is at exactly 1,5.

I am wondering how we can actually make villain make a mistake here when he has just bare AA here (I'm assuming villain isn't balanced enough to check range here so we face ~bare AA a fair propably 90+% here).

My friend wanted to check this hand back, but I think against his range it does not accomplish much as most turns will just make the board more wet and RvR equity from AA will be even worse. Also we don't want the turn to be a 7 or just a blank and him ending up getting it in with 50% or so. My initial though was to bet small, but I can't really see any merits to that either.

So what we are basically left with is potting, which I don't like for the reason how few bluffs we actually have here, the only real advantage of the play would be us turning all KKxx that don't connect here in a bluff as well (yet pretty difficult to find many KK that we 3bet against a tight MP and that don't have much going for them here).

I havent run the numbers but my guess is that we are about 70:30 favourite here RvR and maybe 65:35 if he is uncapped on the flop by his check, and while making him fold 20-30% equity is a fine result in a pot that is 50bb big I wonder if it is possible to maximise our EV here in any way.

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