KK on the bubble with a shortstack all-in

[Slim Pickens]

Party Poker $20+2 No-Limit Hold'em Tourney, Big Blind is t200 (4 handed) converter

SB (t95)
BB (t4466)
UTG (t2103)
Hero (t1336)

Preflop: Hero is Button with K[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">UTG folds</font>, <font color="#CC3333">Hero raises to t400</font>, BB calls t200.

Flop: (t900) 4[img]/images/graemlins/spade.gif[/img], 5[img]/images/graemlins/heart.gif[/img], 9[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, Hero ??? (wants to get paid)

Was the preflop minraise a good idea?
How do I get as many of BB's chips in the pot as possible?