WTF did I get myself into? 1/2 3way for 3bets

[Wu36]

Poker Stars - No Limit Hold'em Cash Game - $1/$2 Blinds - 6 Players - (LegoPoker HH Converter)

<font color="black">Hero (SB): $267.30</font>
BB: $270.60
UTG: $453.90
MP: $200
CO: $157.90
BTN: $332

<font color="black">Reads: </font><font color="blue">I\'m running bad at this point, losing all my allins except for the one I got in as a dog (see below). I\'m 20/18/4ish overall at this point but like 14/13 at this table.

Button is Woodbrave- 16/14/infinity over small sample
He flatcalled a utg open and my button squeeze and check shoved some wet flop earlier, I folded.
BB is colombo- 2p2er, at 3 of my tables. He\'s been playing good and running like [censored] from what I can see. I won one medium sized pot vs him where I called a raise w T9cc called a 957(i think) 2 heart flop. Turn checked through and I value bet a 9 heart river and he called w KK.
The aforementioned suckout: I called KQdd 3 way in the BB and c/red a T8x dd flop, called a shove and rivered his 88. He was talking alot about how bad he was running (which he was).

</font>

<font color="black">Preflop:</font> Hero is dealt 9[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/diamond.gif[/img] (6 Players)
3 folds, <font color="red">BTN raises to $7</font>, <font color="red">Hero raises to $26</font>, BB calls $24, BTN calls $19

<font color="black">Flop:</font> ($78) J[img]/images/graemlins/heart.gif[/img] 6[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/heart.gif[/img] (3 Players)
Hero checks, BB checks, BTN checks

<font color="black">Turn:</font> ($78) K[img]/images/graemlins/club.gif[/img] (3 Players)
<font color="red">Hero bets $62</font>, BB calls $62, <font color="red">BTN raises all-in to $306</font> hero hates himself and...

Random thoughts: Button can certainly have KJ or QT here, set is doubtful. To me it looks like both mine and BB's hands are medium strength.

[Beanos]

KJ, would he not bet the flop? QT seems possible. would he 4-bet pre with AK?

[Wu36]

KJ might bet flop, not sure. But a check wouldn't be too unreasonable imo. Flatcalling AK pre would be kinda bad, I'm assuming he'd put in another bet.

[wrschultz]

Yeah... Avoid these spots by not 3betting nits out of position with garbage. Since you got here I guess we have to fold.