I think you should 3-bet the turn. Look at it like this, you are heads-up when SB-raises the turn. If you call and put in 2BB on the river you will have put in the same amount as if you 3-bet the turn and he calls and then check-calls the river. But if he has a big draw, AA, KK or something to go wild with on the turn you get a lot more bets in. It will of course suck if he has JJ or QQ or draws out on you but then it always does.