3bet, TPTK AQ; bet Tu?

[Jim14Qc]

At time of hand, I bet pretty quick the Tu, but I'm wondering if checking to get a Ri call by TT-JJ is better. Other hands are QQ+ (beat, no point in bettting LDO) and AKs w/ the flush draw. Villain is 23/19/4.

Full Tilt Poker - No Limit Hold'em Cash Game - $1/$2 Blinds - 6 Players - (LegoPoker Hand History Converter)

SB: $236.00
BB: $207.25
UTG: $224.25
MP: $317.40
CO: $401.45
Hero (BTN): $311.10

Preflop: Hero is dealt A[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/spade.gif[/img] (6 Players)
UTG folds, <font color="red">MP raises to $7.00</font>, CO folds, <font color="red">Hero raises to $24.00</font>, 2 folds, MP calls $17.00

Flop: ($51) 2[img]/images/graemlins/diamond.gif[/img] 7[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/diamond.gif[/img] (2 Players)
MP checks, <font color="red">Hero bets $40.00</font>, MP calls $40.00

Turn: ($131) 8[img]/images/graemlins/spade.gif[/img] (2 Players)
MP checks, <font color="red">Hero bets $100.00</font>, MP folds
Uncalled bet of $100.00 returned to Hero

Pot Size: $131.00 ($3 Rake)

EDIT: If called on Tu, what's my Ri play?