Obviously betting here, but how much do we reckon represents what hand versus a thinking player and a player that probably expects me to bet a massive portion of my range when checked to on the river after calling two streets?
This statement is very very wrong. What would you bet on this river apart from trips +? You are checking back a tonne of your range on this river. Stuff like AT, 99. Also, given that the board is paired and that he is a not a fish would you really call the turn with a flush draw. This would be a leak imo.
Anyway river is an easy ship for value. Given how deep you are you could also think about min-raising the flop.
Why are we checking back these hands?
Also, I might not call the turn with a flush draw, I might play the entire hand differently, but I think it's wrong to say that his perception of my range by the river doesn't include missed draws.