Villain is a thinking, balanced reg, on the LAG side. When he plays 6-max he's a 34/21 3bet 10.5, with a 13% from SB, probab to attack stealing obv.
He c/r 10% OTT.
We have a lot of aggro history with light 4bet etc preflop, so he rarely puts me on KKxx.
At the moment we are 3handed, he's a lot more aggro, but we have too few hands to give numbers so... make a guess.
I think that pre and OTF is standard. But OTT:

1) b/f 1/3-1/2
2) b/c 1/3-1/2
3) check and evaluate river

In game I thought that a small b/c was good (we're underrepping our hand), but without the heat of the battle... I dunno, maybe b/f is better, and obv check back has a lot of merits.

Poker Stars $400.00 Pot Limit Omaha Hi - 3 players

BB: $2182.07
Hero (BTN): $400.00
SB: $1098.85

Pre Flop: ($6.00) Hero is BTN with 9 4 K K
Hero raises to $10, SB raises to $34, 1 fold, Hero calls $24

Flop: ($72.00) 6 6 J (2 players)
SB bets $52.50, Hero calls $52.50

Turn: ($177.00) 8 (2 players)
SB checks, Hero bets $96.00, SB raises to $463,

ugly spot, i may take the chicken line and ch behind OTT try to get to SD achap. There are some good River-Cards where you can snapcall a moderate bet.
As played I can't see him CR Pot here as a bluff, maybe he has AAxx with hearts, Trips+ and strong Combodraws, here is a sample equity calc:

ProPokerTools Omaha Hi Simulation

Powered by the Odds Oracle (http://propokertools.com/odds_oracle)

board: 66J8

Player	Equity	Wins Hi	Ties Hi
KhKd4s9c	28,1697%	28,1697%	0,0000%
13%:6,AAhxh,79hh,9Thh	71,8303%	71,8303%	0,0000%

You have to put 217.5$ into 586,5$ so you getting 3.7:1 and need a little bit more then 27% Equity for the call. As the sample calc shows it depends on how many Combo-Draws/Bluffs are in his Range, hard to say.

I disagree about pre. Flop is fine, but I think, nitty though it may sound, open folding the button is good Vs. a 13% 3-bettor who will apply a lot of pressure post-flop, especially given your discomfort on a paired board. I think folding to the 3-bet is definitely preferable to flatting or 4-betting.

As for the turn, I really don't understand the objective in betting, but if I were to bet, it'd certainly be to bet/call, on the expectation that he'd perceive you to be stabbing, given your dynamic. However, I disagree that your bet is small or that your hand is under-repped. $96 seems about right here in general, and your hand is just insanely weak against a lot. His check/raising range here should be basically things that crush you or draws that flip with you (or even fare better). I simply anticipate that it will be weighted more heavily towards weaker holdings than those nutted holdings, as people tend to just lead out here with boats for value and with 6*** for value/protection and the fact that check/raising a naked 6 is probably a little thin.

Check behind OTT is fine, if u bet u should be willing to stack off. Villain could have a 6, but his sizing is more indicative of a combo draw.

Open-folding is absurd. Folding to the 3-bet is defensible.

fold to 3bet and puke on the turn would be nice to have a little better read agaisnt descriped oponent with agro history i would call and hate life