Hhmm, I'm looking forward to play some more with GTOw tonight. I can already see that I missed that BTN is not playing fullstack. I solved the hand for 100BB and you solved it for 75BB. In your solve you see that checking and betting half pot is the same EV and we want to bet the majority of the time now. In my solve the EV of checking is higher and we want to check roughly 2/3th of the time. It's really close though; closer than I thought.
As a general strategy I would check this board, but in case of 75BB deep it seems to be a half pot cbet. I want to find out why this is.
I'll come back to this later. Thank you for sharing your analysis + raw HH.