NL400: A-K tptk, check turn to induce bluff, then BAM

[lawloser]

Villan in hand is 46/33/5 over 200+ hands. Villan is feeling it I guess, he just bluffed push another player and caught runner-runner straight to get his current stack. I checked turn to induce a bluff, but then villan pushes. Find a fold?

Party Poker
No Limit Holdem Ring game
Blinds: $2/$4
5 players
Converter

Stack sizes:
UTG: $140.50
CO: $1374.78
HERO: $404
SB: $370.20
BB: $1027.50

Pre-flop: (5 players) HERO is Button with A[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/club.gif[/img]
UTG calls, CO folds, <font color="#cc0000">HERO raises to $20</font>, SB folds, BB calls, UTG calls.

Flop: 7[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/diamond.gif[/img] ($62, 3 players)
BB checks, UTG checks, <font color="#cc0000">HERO bets $44</font>, BB calls, UTG folds.

Turn: 6[img]/images/graemlins/spade.gif[/img] ($150, 2 players)
BB checks, HERO checks.

River: 2[img]/images/graemlins/club.gif[/img] ($150, 2 players)
<font color="#cc0000">BB raises all-in $963.5</font>, HERO???