What about checking the flop instead of c-betting it?
The SB is tightish for 10NL so he has some kind of hand especially as he is OOP next round.
The c-bet looks exactly like a c-bet. You have very little aganst his range so the checking the flop might have more use.
Then reraise the turn if he bets.
Sets, AK, AQ etc wont fold here, so a call or reraise really tells
you that you are beat.
To continue beond that point you really have to ask.. would he continue with AK? if the answer is definately yes.. then you can fire a second bullet. If the answer is mainly no he would put me on a set and fold, then you simply want to check it down.
But the reraise, if he has AK and calls would mostlikely cause him to check the river allowing you to check behind.
As long as you keep the pot under $4 then he has never had correct setmining odds