If you smooth call pre-flop, Villain is not making a mistake by calling along with you. That means the only reason to smooth call pre-flop is if you think you can convince Villain to make a bigger mistake later, or if you think he'll re-raise to push you out.

As others have pointed out, he's not likely to bluff into a dry sidepot, and he knows you aren't either. In my opinion, he'll be more willing to put money into the pot now than later.

Plus, you know you're ahead now, and especially since you describe this guy as trappy, it will be hard for you to be sure about that later. With stacks as deep as yours and Villain's, your objective should not be to squeeze an extra 500 out of whatever two cards he may be holding right now. You need to build a pot now and hope that Villain has a hand big enough to stand up to some pre-flop action and make a second-best hand on the flop. If you sometimes fold out 66, that's okay- you probably were either going to win his 500 and nothing more or lose your stack to his set. If Villain has something like KQ or TT, you are in good position to win a big pot.