Shove turn or take the free card?

[olivier]

very agressive table, lots of 3-bets at this moment.
AA and AK are obviously in vilain's range and he's not folding them. I think that QQ, JJ and AQ are at least in his range too.
Do you bet turn or take the free card?

Full Tilt Poker, $2/$4 NL Hold'em Cash Game, 6 Players
LeggoPoker.com - Hand History Converter

UTG: $638.40
Hero (MP): $394
CO: $214.10
BTN: $218
SB: $162
BB: $488

Pre-Flop: 9[img]/images/graemlins/diamond.gif[/img] T[img]/images/graemlins/diamond.gif[/img] dealt to Hero (MP)
UTG folds, <font color="red">Hero raises to $12</font>, 3 folds, <font color="red">BB raises to $45</font>, Hero calls $33

Flop: ($92) 2[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/diamond.gif[/img] 6[img]/images/graemlins/spade.gif[/img] (2 Players)
<font color="red">BB bets $70</font>, Hero calls $70

Turn: ($232) 8[img]/images/graemlins/club.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets $279 and is All-In</font>?