Play big pot with AJ(TP+FD) vs. Lag

Villain is Laggy and I have position on him, though he is not quite maniacal. He's running at 55/23/1.2 but only over 63 hands so the AF doesn't really count. He is involved in many pots and has min-raised a few times. I wanted a safe turn to push and the K looked as good as any unless I was already beat. What do you think?

PokerStars No-Limit Hold'em, $0.25 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

SB ($24.90)
BB ($48.75)
Hero ($28.55)
MP ($24)
Button ($14.85)

Preflop: Hero is UTG with Jhttp://www.flopturnriver.com/phpBB2/...miles/club.gif, Ahttp://www.flopturnriver.com/phpBB2/...iles/heart.gif.
Hero raises to $1, 3 folds, BB calls $0.75.

Flop: ($2.10) Thttp://www.flopturnriver.com/phpBB2/...miles/club.gif, Ahttp://www.flopturnriver.com/phpBB2/...miles/club.gif, 4http://www.flopturnriver.com/phpBB2/...miles/club.gif (2 players)
BB checks, Hero bets $1.5, BB raises to $3, Hero raises to $10, BB calls $7.

Turn: ($22.10) Khttp://www.flopturnriver.com/phpBB2/...iles/spade.gif (2 players)
BB checks, Hero bets $17.55 (All-In), BB calls $17.55.

Not worthy of a comment? Anyone?

What do you think he flat-called your flop 3-bet with? Villain has to have SOME sort of hand here...either drawing to a Q/K flush, Axc like you, two pair, set or made flush. If you don't think he has a flush draw or a completely "made" hand, you have 9 clubs and 4 queens to draw to, as well as the possibly tainted outs of 3 jacks to beat a couple of ragged two pair hands (AT, A4?) With a 55 VPIP, he seemingly could have ATC here...

I really think you have to stick the rest in after putting so much in on the flop, since you have less than a pot sized bet left. It's not a good spot, but whatever happened you need to note his play, like *Called flop 3-bet with nut flush draw, slowplayed a set on monotone board, whatever it is*

Thank you much for your comments Setzy. Do you just suggest smooth calling his flop min-raise?
I am trying to be more aggressive with my combo type hands. I can wait and lead turn, but then I've lost half of my flush outs.

i'd just call the flop, and expect him to bet the strength of his hand on the turn.
i only would play it like that if he would call down with like A2o, because i doubt you get any better hands to fold, and your draw is kinda bad.
or if you had KcQx and thought he was min raising A2o for info i like it too.