If you are ahead on the flop, many things can come to beat you given the button's hand range. Because of that, id either lead the flop or c/r the flop. However, if the button likes to semibluff-raise or bluff-raise, I'd c/r the flop, since if he raises my bet on the flop I have no idea where I am. If he 3-balls my c/r on the flop, I'd tend to fold (but that could change depending on how he plays his made hands and draws)

Generally on the turn for me here its bet/fold.