AK trips turn move

[Johnes Benjamin]

Villain was relatively tight and not particularly agg

Poker Stars, $0.25/$0.50 NL Hold'em Cash Game, 7 Players
LeggoPoker Hand History Converter

Hero (UTG): $70.45
UTG+1: $17.10
MP: $44.30
CO: $21.10
BTN: $21.85
SB: $27.55
BB: $50.40

Pre-Flop: K[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/heart.gif[/img] dealt to Hero (UTG)
<font color="red">Hero raises to $2</font>, 5 folds, <font color="red">BB raises to $3.50</font>, Hero calls $1.50

Flop: ($7.25) K[img]/images/graemlins/spade.gif[/img] 7[img]/images/graemlins/spade.gif[/img] 5[img]/images/graemlins/heart.gif[/img] (2 Players)
BB checks, Hero checks

Turn: ($7.25) K[img]/images/graemlins/heart.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets $3.50</font>, <font color="red">BB raises to $9</font>,

I think he has AA pretty often here, or maybe JJ, QQ.
I feel like reraising on the turn shows tremendous strength and will make him fold very often.
My default here would be to call and vbet a checked river or shove over a lead.
Should I just be shoving the turn and hope he puts me on flush draw or something?