I don't like the call preflop. You're OOP with KQs against an unknown reraiser whose stack can cripple you. You're getting great odds, but playing correctly postflop is really hard. As you pointed out, many hands in villain's range have you crushed, and it could be expensive to find out if you're ahead.

This flop is about the best you can hope for. If he decides to bet too small again on the flop (<1/2 pot), I'd call to try and hit the flush. Otherwise, this is a check/push to any reasonable-sized bet. The check/push line gets him to put some money in and then fold with TT, 99, AQ, AK, and some weird donkey hands. If we get called, we're very rarely a favorite (AJ?), but have decent outs.