I'm not sure if I like the 3-bet on the flop. Unless you think villian could have the straight draw, your either crushed (set) or well ahead (bluff, lower PP or weaker K). As neither hand is that likely to improve over the other, why not take some time to get a feel for what they might hold. You have 2 more streets to extract value from the hands you are ahead of which would probably fold as you play screams AK/AA. It also gives you a chance to get away, or at least limit the damage, from a set/2 pair.

Smooth calling the flop and leading or ck/rsing the turn are the lines I'd normally go for.