I'm not sure about the polarising river bet, as the only value hand we can credibly rep like this is 6x, maybe 88 sometimes. I don't think we have enough 6x in our range to justify it and villain is going to call us too frequently for this to be profitable. 

We get a very favorable flop of 8c7d5c.  We check (one could build a donk range on this flop, but it won't gain a lot of ev, and isn't especially easy to balance).  Villain bets 40% pot.  Obviously we aren't folding, the question is whether to call or check raise.

PIO plays every flush draw as a mix.  It's most common check raise is A6cc for the NFD and straight draw.  The hands it least prefers to check raise are AJcc, and K3cc, our hand (I didn't give hero K2cc).  Hero did check raise and went fairly big, 130/30.  

The turn was a good card for our range though not our hand; an off suit 4.  Best card for our range is an offsuit 9.  I guess we have more JT than Villain, but I'd have thought that a 4 was better, since 6x is the effective nuts.  An off suit 4 is the card we are supposed to barrel the most, and hero did, going for an overbet of the pot, 120%.

The river was an offsuit Q, and once again PIO and hero prefer to bet.  PIO prefers a 1/2 size bet, hero kept polarizing with an overbet.  Villain tank called 55.