I think I might be missing something here. You are getting frustrated by his constant blind stealing so you make a stand, correct? But you do it with 4-7s, so you obviously are doing it to outplay him post-flop. Unless you put him on 4-6 or less, which is doubtful. So the flop hits relatively well for you. But you don't try to outplay him by raising, you play to hit the draw. The turn opens your draw up a bit more, but you still don't try to raise him. Good for you that you hit your straight, but this does not seem to be a very +EV play. At least if you raise you are representing a hand that he might fold.