JJ - Going overboard with the defensive turn check?

[waffle]

Villian is SB and 42/27/1.8/48

Preflop: Hero is UTG with J[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/spade.gif[/img].
<font color="#CC3333">Hero raises</font>, <font color="#666666">2 folds</font>, Button calls, SB calls, BB calls.

Flop: (8 SB) K[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, BB checks, <font color="#CC3333">Hero bets</font>, Button folds, SB calls, BB folds.

Turn: (5 BB) 6[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
SB checks, Hero checks.

River: (5 BB) 6[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">SB bets</font>, Hero calls.

1 - I thought his range after his preflop coldcall had a lot of kings
2 - I didn't want to bet/fold the turn
3 - I didn't want to bet/call the turn
4 - I might induce a bluff from a hand that was going to fold to the turn

On the other hand..
1 - Maybe I'm overestimating the hands that he's folding here and missing value
2 - Maybe his turn check/raising range is far enough from optimal that bet/calling the turn is best

Thoughts?