($16) AA on paired board

[Schmitty 87]

Villain is 38/14/0.75 over 35 hands. Seems to be playing quite loose. I checked flop to control pot and also to let him potentially hit something on the turn. Then I checked the turn just because I felt like it. Advice anywhere...

Poker Stars, $15 + $1 NL Hold'em Tournament, 75/150 Blinds, 5 Players
LegoPoker Hand History Converter

CO: 775
BTN: 4,515
Hero (SB): 3,970
BB: 1,565
UTG: 2,675

Pre-Flop: (225) A[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/heart.gif[/img] dealt to Hero (SB)
2 folds, BTN calls 150, <font color="red">Hero raises to 600</font>, BB folds, BTN calls 450

Flop: (1,350) Q[img]/images/graemlins/spade.gif[/img] 7[img]/images/graemlins/spade.gif[/img] Q[img]/images/graemlins/club.gif[/img] (2 Players)
Hero checks, BTN checks

Turn: (1,350) 8[img]/images/graemlins/club.gif[/img] (2 Players)
Hero checks, BTN checks

River: (1,350) 2[img]/images/graemlins/club.gif[/img] (2 Players)
<font color="red">Hero bets 750</font>, <font color="red">BTN raises to 1,500</font>, Hero calls 750