Kings and flop. Strange action

[testaaja]

BB & button are both the biggest fishes I've ever seen. BB is the most luckiest player also (I saw him cold calling 52o and hit straigh.. I saw him call pf 52o and hit a straight.. I love these guys when their luck run out [img]/images/graemlins/smile.gif[/img] )
I can't make sense of his holdings on flop. They can be anything. I saw him raise with 52o when board was 5AJ or something similar. I just got to valueraise all the way. Now to the turn. The card I feared the most an ACE! I don't know anything about SB's hand. Do I valueraise the turn or do I call and check fold the river? The pot is big but it seems like BB likes his hand on the flop and now SB on the turn?? Any help appreciated.

PokerStars 0.25/0.50 Hold'em (7 handed) converter

Preflop: Hero is UTG with K[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/heart.gif[/img].
<font color="#CC3333">Hero raises</font>, <font color="#666666">3 folds</font>, Button calls, SB calls, BB calls.

Flop: (8 SB) 7[img]/images/graemlins/diamond.gif[/img], 8[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, <font color="#CC3333">Hero raises</font>, Button folds, SB calls, <font color="#CC3333">BB 3-bets</font>, <font color="#CC3333">Hero caps</font>, SB calls, BB calls.

Turn: (10 BB) A[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">SB bets</font>, BB calls, Hero ?