You open limped which is going to complicate your read a bit here, because now you can't define the SB's actions as purely based on representing a strong hand over your button open. The open limp in this situation introduces a whole gammit of hands that could be attacking you. I wouldn't put a huge amount of faith in the early level STATs as so much can be skewed by if he is playing multiple tables, or other early game dependant manuevers (for perspective I tend to play a lot like that very early as well and then open way up to a 20/18 – 22/18 by the later stages). That being said, I think the limp is a bad play. If you want to play the hand, raise it, you will spare yourself a lot of these weird spots. Once the flop comes because of how you played pre-flop I don't think I can range him terribly well. If you had open/raised and he re-raised you I think you can start to make a few more conclusions about what is going on, but in this situation for me given your opening action I think this could very well be either a huge hand or air trying to punish you. It is very hard to play sometimes when dealing with that sort of polarization.

That being said I think if the roles are reversed and you are in the SB I am going to attack a BTN limp like I am holding AA every time. I think this sort of play is highly exploitable in the micro's and is a really nice way to chip up.

All in all on your hand I don't think I re-raise, I would call the bet and see what he does on the turn as I think that street will be your best place to define what is going on. If you call his 3bet and his lead on the flop and he barrels again, fold you are crushed. If he checks the turn you may be able to see showdown with nothing else invested as he very well may be done trying to push you off your hand.