I disagree although I don't play much limit apart form when I am in Vegas admittedly. If he raises you will definately pass? this means you have paid the 2 bets without seeing what he has so its cost the same with no showdown. If he just calls the bet then bets the river you will have paid one extra bet and probably be beat, if he calls and the king comes you may still be beat and lose more than 2 bets on the river as well ( I know some players wouldn't 3 bet the turn with bottom set for instance). I may be completely wrong here but raising is the last thing I would do- I can justify the fold but the raise is an absolute nono for me.
I dont care about seeing his hand, i am either beat or i am ahead. My actual play like Matt says depends on the kind of player, but i know i wouldnt call here!
If i am beat i still lose 2 bets, if he flat calls the bet then he is almost certainley going to check the river, and i check behind. Unless i hit a K then i might bet.
I guess it comes down to how familiar you are with Limit, i have no problem releasing a hand like this, whereas a lot of NL/PL players will call because its a 'small bet'
On top of all this, i setup a much tougher game to read, if say it goes check check on the river and i show my 1 pair 3 bet on the turn, then when i get a set and someone has bottom 2 pair 2 rounds later and i raise them on the turn they will be more willing to re-raise knowing i am the kind of player who will raise for information. i find with limit you build a massive edge by making yourself hard to read, a good way to do this is never call, raise or fold (except certain scenarios. like tryign to suck others in etc)
However 1 thing about this hand is i would have won it earlier because i would have re-raised with AK in position pre flop and this guy wouldnt have been in the pot!