Preflop, standard.
Flop, actually standard too. You don't want to bet with all of your gutshots, you want to check some, bet some, so that when J comes, you have straight in both ranges. However, to bet you should use AK with backdoors, since they have slightly more equity. You have a correct idea OP and that was a good check call. You also should slowplay and check some of your Qx hands to protect your range.
Turn is very interesting. Let's see what is your range: Some Qx, some Tx, pocket pairs, AK, AJ. When villain bets, you don't fold Q, you don't fold Tx and if you don't fold your gutshots, then what you fold? You are having here 0% fold, which can't be good. Villain is printing money by value betting here. On the other hand, if you fold all gutshots, that will make 26 combos. That might be little too much. You don't want to have AJ, because J blocks KJ and J9, so when you have AJ, that is easy fold. And then you can turn some of your AK hands into
bluff, but not all of them, you will be overbluffing. So, what you should do is to bluff with AK hands that don't have
clubs, because you want villain to have flush draw. So, this turn, check raise your slowplayed Qx and AK with no clubs. Fold AK with clubs. Call is the worst option.