If hes competent like you think , then he knows hes not getting the right odds
to call that turn with FD , if he has a set then most probably raising the turn . He probably has K10+ 88-JJ , perhaps pair and FD(7c8c, 6c7c .
I think if you bet around $90-$115/Fold to raise . We might get value from K10+, folds from 88-JJ , call from Flush , raise from book. Then we are setting the price.
If we Check villain is betting his flush and book but it will cost us more than $115 IMO + villain is checking everything we beat .
So Bet/Fold for me if we are ahead we might get hero call with Kx and if behind , we loose min.