Think on your total overbet turn and call raise range, should be narrow.

Maybe shove turn at some freq
On this river, i expect IP value range to be
Straights and fulls
Bluff should contain some 9x and Jx

Then, J9 block some value and some bluff
I prefer to call Kx or even Q7 type hands blocking fulls and unblocking bluff

I did not look into overbetting a lot but I don't think this is a spot to overbet the pot. It is a very wet board meaning that villain is not likely to call and if he calls or raises as is the case your most of the time up against a nutty hand two pair KQ, KT or AJ or J9.

The K on the river makes that now the villain has you also beat with KQ and KT so think the fold is correct if the river was a blank I would call but now with the K a fold is correct.

I would fold pre against a 3x CO open. If you want to add more hands to BB flatting range, use more suited hands.

As played, it's very weird. I don't understand your opponent's line, unless it's something like AJ, J9, KK or 77. Maybe KQ as well.

You have about 50% equity against that range, and he will fold his bluffs. There's already 0.80 in the pot after his raise and the effective stack is 2.6.

So, shoving turn is probably +EV. Is calling better? I don't know. The advantage of shoving turn is that you don't make a hero fold on the river and then wonder if you were right, to then post on RIO :P

• We do have the nuts, AJo should not be 3betting at 100% freq
• We expect to have more J9o combo's than villain
• Villain cap's range on flop thus making our range more nut heavy comparably
• Fold River looks fine as we do have better hand in our range and villain's bluff range is vague

I like calling AJ on the turn, but I think raising J9 is better. He has, like 12 combos of the nuts (which you block), potentially 12 combos of sets and a bunch of two pair on this turn (both of which you un-block). His raising range is so value heavy here since here are zero flush draws to be semi bluffing.

Basically I am counting on him not bet/folding anything. Shoving is definitely the option I prefer. You can make some re-raise to $1.30 or so but it makes the river awkward on board pairing rivers.

Flop is a bit concerning. He has a range advantage here and checks back on this board. I would expect this to be a high frequency bet for IP. I don't think I would ever check AJ back here, but if I did check this flop back, AJ would be the about the only combo I did it with hoping to induce you to start bluffing on a board that is pretty bad for you.