50NL: 3bettiing AQo in the SB vs. a raise from MP

[illini43]

Villain is ChristopherT, who I have at about 16/9/2.5 over a small 185 hand sample. Is 3betting this type of player profitable with AQo?

How's my line?

Poker Stars, $0.25/$0.50 NL Hold'em Cash Game, 8 Players
LeggoPoker.com - Hand History Converter

BB: $50
UTG: $29.50
UTG+1: $87.80
MP1: $45.10
MP2: $59.30
CO: $30.25
BTN: $61.85
Hero (SB): $48.15

Pre-Flop: A[img]/images/graemlins/diamond.gif[/img] Q[img]/images/graemlins/heart.gif[/img] dealt to Hero (SB)
2 folds, <font color="red">MP1 raises to $2</font>, 3 folds, <font color="red">Hero raises to $7</font>, BB folds, MP1 calls $5

Flop: ($14.50) 2[img]/images/graemlins/spade.gif[/img] 2[img]/images/graemlins/diamond.gif[/img] 7[img]/images/graemlins/club.gif[/img] (2 Players)
<font color="red">Hero bets $11.50</font>, MP1 calls $11.50

<font color="blue">I assume this is a standard c-bet after 3betting preflop. I think his 3bet calling range is probably TT+/AK. By betting, I think I can get TT/AK and maybe JJ to fold, is that enough incentive to bet here?</font>

Turn: ($37.50) 8[img]/images/graemlins/diamond.gif[/img] (2 Players)
Hero checks, MP1 checks

<font color="blue">He called my flop bet, so I figure he has QQ+ and he isn't going to get away from it. I'm check/folding the turn and river here... </font>

River: ($37.50) 8[img]/images/graemlins/spade.gif[/img] (2 Players)
Hero checks, planning to fold to a bet.