NOT raising with AK in BB

[vandalay]

I was playing, and 4 hands ago, this calling station called me down with a K4 and hit the King on the river against my QQ.

I had been watching, and he will not lay down a hand.

He limped, everyone folded to me in the BB and I have AK...
I raised, missed the flop and he bet, I folded...

I am thinking that I should NOT have raised, as if I HIT, he is going to pay me off anyway. No reason for me to put extra money in the pot considering I have zero chance of winning because of the raise.

What od you think?