[inverted]

check calling the turn is a terrible idea, you will have no idea what his hand range is if he checks/bets into you. Assuming he does bet the turn with ATC when you call you could have atmost 6 outs. Dependant on the fold equity you think you have on the turn I would either c/r or bet/fold.

As played when you get to the river here I think you check raise if he is likely to bet a missed flush, or you bet if he isn't. Most of his range that he gets to the turn with KQ, AQ and maybe QJ, AA, KK bet the river/call a bet. I can't see him calling a raise with those hands so if he folds the flush you betting atleast allows you to size the bet. I think bet sizing should be atleast $33, it is a $55 pot.