AK vs TT

[ActionD]

I've been sitting at the 235 NL table at a casino for about 6 hours. I know how all the players play and have a somewhat tight (occasionally advertising loose plays) aggressive table image. A very tight aggressive unimaginable player raises from UTG +1 to $40 and I look down at Ad Kc in the SB and make it $100 to go. Blinds fold and he calls. Pot=207.
Flop: Jc 8c 3c I check forgetting whether I had a club or not, my opponent looks back at his whole cards and moves allin for $280. I look down to see the King of clubs and I figure that if my opponent has QQ or TT I'm a coinflip, if he has an unlikely KK AA or JJ then I'm a little bit worse. I think for a decent time and put him on what he had QQ or TT and I figure that means I'm actually ahead in the hand, just barely. So I call getting 280 to 487 odds on my coinflip. Turn and river come blanks and he turns over TT no clubs and takes it down.
Did I make the right play? I should have probably gone allin on the flop figuring to increase my chances of taking it down right there, but I don't like looking at my whole cards twice... I just hate losing $400 with an Ace high hand. Comments would be greatly appreciated, especially on the fact that he could have had a hand which murdered mine like AcAh or something.