Guess I am in the habit of getting in on these threads at the end.
Preflop, I think this is generally a fold against a raise, but I think calling is defendable because this is looking like a multi-way pot and a TAG BB probably isn't going to squeeze without some strength, which is almost as good as closing the action. With a LAG yet to act in the BB, this call would probably burn money. It may be burning money as it is, but I don't know how bad it is in a probable 6-way pot.
On the flop, I probably just check call this. I don't think check raising accomplishes much unless you think UTG has a lot of air here and opened an 8-handed pot UTG. Also, given the pf read he has willingness to station, these players make bad bluff or semi bluff targets. If he's competent, I would guess his range skews more toward overpairs and maybe even sets on this board compared to missed overcards he would just give up. If check-raising doesn't have a high chance of winning the pot there, it's probably not the best play.
The best way to get paid if you hit is to keep as many players in as possible. I think check call is pretty clear.
The donk bet idea is interesting of UTG isn't so pair heavy and has a lot of missed overs on this flop. However, if I think UTG is pair heavy, this is going to limit the field and it will be an overpair v combo draw sort of race.
On the turn the math is pretty simple, call again. It's $58 to win $218, you have more than enough outs to call. I don't think you benefit much by trying to force button out which you may not be able to do anyway. A lot of button limps hit this board hard as well.
On the river I think hero needs to move in. But it's tough to figure. Basically hero has to determine the frequency in which button has a set and can't fold it versus the times he will have QT. That sort of decision requires a bit of history. I do agree with
@grebe at $170 effective, shoving is the only play if choosing to bet. Maybe going for a third-pot bet of $90 is over half the stack, it's all getting in one way or another. Smaller sizing maybe that helps you get looked up by a little more, but it also can become a sizing tell, shove=weak, small size=strength. I think you need to shove here to protect future bluff shoves as well.
If villain is good enough to lay down a set to a shove, then the shove gains nothing and check-call is the play. If villain will bluff if checked-to, then check call is play. But I think on average, most villains will check-behind non-straights with showdown value here, so I prefer to shove as hero and hope for a tilt payoff. If button has QT (and he may) nice hand, reload.
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it might be more somewhere between "loose-passive-calling-station-who-calls-with-all-siuted-cards" and some other-strange-playing-style....
and CALLS the extra 1.50.
