raise the all-in bettor?

[sleepyjoe]

Here's an interesting hand from the Taj on Saturday. $50 / $100. I'm in the big blind with AK off. A raiser from middle position, called by the cutoff and small blind and I raise from the big blind. Original raiser 3-bets and all call around to me, at which point I just call.

The flop comes down 10c 9h 4s. This flop doesn't particularly thrill me but I bet out anyways after the SB checks. Original raiser (MP) raises, the cutoff folds, the small blind calls, as do I. The small blind only has enough for 1 bet left in front of him (very important).

9c on the turn, putting a pair of nines on the board. Small blind leads into the field and I pause to think of the best move. I probably pause too long as to make my train of thought obvious, but I"m just not all that fast at the tables. 18 small bets in the pot before this round. $100 to me, it seems like if I raise the player behind me will have to fold unless he has a 9 (or so I thought) so I raise it up. I'm thinking that after he folds I'll just take back the raise (since I'll be heads up with the all-in) but things don't work out. He 3-bets me.

I am convinced at this point that he is just trying to play me rather than play his cards. I figure the best he has is the same as me (AK) although maybe he has the flush draw as well.
I decide to re-raise (which makes actually no sense now but this guy had been riding me all day) and he calls.

The river is an Ace. I bet out, he calls. I show my AK, he stares at me for a while (trying to make sure everyone knows how bad I play) and flips 2 kings face up into the muck.

I tell him that if there weren't bad players like me at the tables then there'd be no money for hot shots like him to win.

the all-in bet was JcQc, which was a straightflush draw but turned into nothing.

comments in general and what, specifically, I should have done differently are welcome.