MEH toppair OOP... all lines possible?

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MEH toppair OOP... all lines possible?

Blinds: $0.50/$1.00 (6 Players) BN: $128.50
SB: $336.35 (Hero)
BB: $100.00
UTG: $100.00
MP: $283.69
CO: $488.02
Preflop ($1.50) Hero is SB with K Q
UTG raises to $2.00, 3 folds, Hero raises to $9.00, BB folds, UTG calls $7.00
Flop ($19.00) Q 3 5
Hero bets $9.00, UTG calls $9.00
Turn ($37.00) Q 3 5 8
Hero bets $21.00, UTG calls $21.00
River ($79.00) Q 3 5 8 5
Hero bets $76.50
villain 61 left

SUP...
this is a hand I post to reclarify my framework with which I should/could assess these situations.

Unfortunately villain is completely unknown other than that he plays a full stack.

Recently in my game I came to the realisation that my next big "sticking" point probably should be how to PIO/approach 3b pots from the turn forward regarding ranges and betsizing since I feel I got everything else pretty close to a somewhat non-super-much-losing/PIOish/GTOish ...

In 3b pots however there is a lot of confusion left regarding lines etc. especially from the turn onward.

This hand is a typical example for me

FLOP: I feel we can bet 1/3 or 1/2 or we can check/call

TURN: I bet because he is unknown and therefore potentially fishy and calldown happy but again I feel we could c/c c/RAI bet this size or bet smaller....

RIVER: Is this bet too greedy? Is this a c/f? c/c? c/c this and shove AQ+? If we c/c this, do we c/c JJ?

In general these spots give me headaches with the TT/JJ/Flushdraw QJ/KQ parts of my range and my gut tells me all lines are kind of equivalent and never super profitable

Has anyone studied this in PIO? Has a good video/article to refer to?

Kind regards

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