I play this the exact same way if we call the turn. I am checking this flop nearly every time, on the turn however, it isnt as clear. On the turn I would suggest either a b/f line or c/c. C/F is way to weak given how underrepped our hand is, the fact that the bet was small AND that we have a draw to a strong flush.

I really disagree with what the others have said on the flop. They are both saying bet and represent aces, but why do we want to represent trips when our hand as it is has value? By representing a stronger hand, we do not get called by worse hands except maybe an occassional FD. Betting for information typically sucks, this is no different. You played the flop fine.