it looks like this is 7 handed by the way... did you make a mistake or am I missing something.

Fold the turn. But why is everyone so unified in checking the flop?

It's a pretty exploitable flop bet, as seen here. It folds out all the hands we are still way ahead of while keeping in a ton of hands we don't have very good equity against, not to mention we're OOP which makes checking the flop plausible because we should be checking 100% of turns with a hand like this anyways, yet our hand is still good enough that we shouldn't mind drawing for a small pot.

I think if I bet the flop I might like a check on this turn. if the turn was a card that he would expect us to barrel we might be able to get thin enough value from his flop c-range (33,88,99,TT,A6,A7,87,65,89,As,x,Kd,Q+x) for this to be good. Unless he has to proven or you think he know your level of thinking and he thinks we barrel blanks.

checking the turn unless he is really tricky (but still often checking with this specific hand), we're OOP and we have the best bluff catcher on a turn that we usually c/f to with overcard/overcard or rags. The river is sometimes gonna dictate a fold but I think we can lean towards calls a lot and be making a +EV c/guess without much shared history.

check flop. get ready to hero call a street or two though. esp vs desc player