Table is 9 handed: 

Villain ($1800) is extremely aggressive and been raising 4x basically every pot.  Been playing at the table for ~3 hours and I have seen him 4 bet hands as marginal as TT72 single suited. I am sitting on 1400$ and waiting for the perfect time to pick him off.

On the previous swing around the table I was in the SB w/ KK77ds he was in UTG+1 and I 3 bet his 20 to 80.  Flop came 5d7d8c (I had hearts and spades) I checked to him and he led pot.  I made a pretty weak fold here and showed the 7's, with his aggression I figured I was doing pretty bad against a GII range, and a lot of turns I am completely lost.  

Hand in question I am SB again w/ AcAhQdTc

Villain raises to 20 from UTG +1, two callers and I raise to 105.  Villain calls and 2 folds.

Flop: (AdKc7c)

Hero (checks)

Villain (checks)

Obviously I flop the world here, looking back I think this check is a pretty big mistake on my part, as any club draw will probably come along looking to crack the A's, also think a bet is more standard from an AAxx hand which would in turn give villain a lot of good "perceived" bluff cards on the turn, that scare a standard AAxx hand.  However, I do have a pretty wide 3 bet range pre, and really not sure if I should put the very top into a donk range.

Turn: ( Jh)

Hero?

Thanks for any help