22$ Pushing with K3

[Freudian]

Blinds would hit me in two hands, and then they would be 100/200. Is this hand too weak to push here? If not, how low can I go?

Party Poker No-Limit Hold'em Tourney, Big Blind is t100 (8 handed) converter

UTG+1 (t2070)
Hero (t505)
MP2 (t2010)
CO (t350)
Button (t1040)
SB (t655)
BB (t760)
UTG (t610)

Preflop: Hero is MP1 with K[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">2 folds</font>, <font color="#CC3333">Hero raises to t505 (All-In)</font>, <font color="#666666">4 folds</font>, BB calls t405.

Flop: (t1060) K[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

Turn: (t1060) 9[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

River: (t1060) T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

Final Pot: t1060

Results in white below: <font color="#FFFFFF">
BB has Ad Qd (one pair, kings).
Hero has Kd 3d (three of a kind, kings).
Outcome: Hero wins t1060. </font>