Preflop
Standard raise and standard call, even though we are not loving life with KQs. If you had KQo, its fine to just fold to the 3-bet.
Flop
Standard check-call. We dont want to check-raise a draw on a A high board in a 3-bet pot, because more often than not we are just ending up getting it in against a hand, we are behind to.
Turn
Leading AKA "donk betting" is the best option here, because so often the opponent will check back a hand like the one, he had. And even if its like screaming from the mountain top "hey I hit the flush", often people get married to their hand and still cant fold. He can also have sets, where he have to call even just to draw.
River
Thats a bad card for you, because it pretty much kill whatever action, you could otherwise have gotten. But you cant expect him to bet for you, so as played bet small like 1/3 pot or even less.