Top set - when to stop raising?

[ntnBO]

FWIW, here is another hand from the same session that gives an idea of what other players will pump with.

PokerStars 2/4 Hold'em (8 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Preflop: Hero is SB with K[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">1 fold</font>, UTG+1 calls, MP1 calls, MP2 calls, <font color="#666666">1 fold</font>, <font color="#CC3333">Button :Villain raises</font>, <font color="#CC3333">Hero 3-bets</font>, <font color="#666666">1 fold</font>, UTG+1 calls, MP1 calls, MP2 calls, Button :Villain calls.

Flop: (16 SB) J[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/heart.gif[/img], 6[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
<font color="#CC3333">Hero bets</font>, UTG+1 calls, MP1 folds, MP2 calls, <font color="#CC3333">Villain raises</font>, <font color="#CC3333">Hero 3-bets</font>, UTG+1 calls, MP2 calls, <font color="#CC3333">Villain caps</font>, Hero calls, UTG+1 calls, MP2 calls.

Turn: (16 BB) K[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
<font color="#CC3333">Hero bets</font>, UTG+1 folds, MP2 folds, Villain calls.

River: (18 BB) 9[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets</font>, <font color="#CC3333">Villain raises</font>, <font color="#CC3333">Hero 3-bets</font>, <font color="#CC3333">Villain caps</font>, Hero calls.

Final Pot: 26 BB

Results below:
Villain has 9s Jc (two pair, jacks and nines).
Hero has Ks Kd (three of a kind, kings).
Outcome: Hero wins 26 BB.