100NL: Another hand vs a huge station but aggro

Poker Room skin
No Limit Holdem Ring game
Blinds: $0.50/$1
8 players
Seat 1: eratoxtenex ($66.40 in chips)
Seat 2: gregteez ($73.20 in chips)
Seat 3: wiswis1 ($16.40 in chips)
Seat 4: m4ni4c888 ($100.15 in chips)
Seat 5: cruaro ($94.50 in chips)
Seat 6: Alfredo Parm ($415.10 in chips)
Seat 7: MP1 [ AH,KD ] ($129.65 in chips)
Seat 10: allu75 ($104.20 in chips)
Converter

Pre-flop: (8 players) Hero is BB with A :heart: K :diamond:
2 folds, MP1 calls, MP2 checks, CO+1 calls, 2 folds, SB raises to $7, Hero raises to $19, 3 folds, SB calls.

Flop: J :spade: Q :heart: K :spade: ($41, 2 players)
SB checks, Hero ???

It seems that my biggest leak is playing badly against these huge aggro calling stations. Villain was 80/11/3.
I had 3betted villain before and he folded.
I felt that this flop hit so many 3bet calling ranges that beat me (Normally these 80/x guys just limp a lot preflop so that the nits with HUDs (like me ;-)) see that and feel that he is calling a lot postflop). So I would tend to check here, plus have some outs to a pretty good hand.
What do you do here? Should we stack off on this board against this villain? I would very much prefer a KJ4 board ...

He's so retarded that I would just blast away.