I think someone posted something about just calling down a few weeks ago. I'd like a raise somewhere, but I'm really not sure where. If you raise flop you're telling him I'm not worried about the A or K, and if he's decent he'll fold any non A there. The turn may be good, but most thinking players will fold there realizing you trapped him. The river has a 4 makes a straight and is a little scary. But he'll call the river with a lot of garbage because its just one more bet to a big pot. So I guess I probably raise river, althought calling isn't bad.
I also wouldn't put him on not having an A just because he didn't checkraise, he may have an A and doesn't want you to check behind at all in the hand.