If you say he most likely jams pre with AA/AK/KK/QQ (which I don't disagree with though I probably would throw in JJ as well) then flop becomes an easy value bet no? You said you were checking to induce but unless you think he's flatting with a wide enough range that he's going to bluff a lot on turns then most of his range is going to be happy to check down.

As played it's a really weird line for villain to take as like you said he probably jams AA pre, TT might play this way but the river jam just seems so strange. Maybe 78s if he calls that pre which has just made a straight might play in the same way.

In game I would probably click call as I'm a Curious Cathy and wouldn't be surprised to see a nutted hand or a random spew.

You are near the top of your range after checking back twice, you have under repped your hand and he's repping very thin so I call here.

Well... don't fold

nh

Looks like checking back twice to induce may have worked a treat

River to me seems bluffy. Given you have under repped your hand by checking back twice, do you honestly believe he is over shoving for value here? IMO he would bet smaller for value with his nutted hands like sets of TT. Wouldn't he bet around $9 ish?

Bet the turn IMO, but as played call the river. You under-repped and he can bluff 2cards vs your capped range.

you should probably bet either flop or turn. calling river looks good.

Well, as played, snap call it off. You must have otherwise have infinite fold EQ to justify cold 4betting when you plan on folding A high boards.

We all pretty much agree so, I call and he have the tenssssssss xD

In retrospect I think bet OTT > bet OTF but definitely bet in one street

His overbet was interesting, I made a note for next time :P