$300 AA I suck deepstacked

[djk123]

Table's been playing tight. I've opened a decent amount, but i've only shown down once with qq. Should I just 3 bet the flop? I think I should have just shoved the turn, but I dunno. River seems like easy check. Thoughts?

Poker Stars
No Limit Holdem Tournament
Blinds: t15/t30
9 players
Converter

Stack sizes:
UTG: t2270
UTG+1: t2565
djk123: t3190
MP2: t2200
MP3: t1805
CO: t1620
Button: t3015
SB: t2685
BB: t3180

Pre-flop: (9 players) djk123 is MP1 with A[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/spade.gif[/img]
2 folds, <font color="#cc0000">djk123 raises to t90</font>, 5 folds, BB calls t60 <font color="aaaaaa">(pot was t135)</font>.

Flop: 4[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/club.gif[/img] 3[img]/images/graemlins/club.gif[/img] (t195, 2 players)
BB checks, <font color="#cc0000">djk123 bets t120</font>, <font color="#cc0000">BB raises to t320</font>, djk123 calls t200 <font color="aaaaaa">(pot was t635)</font>.

Turn: 7[img]/images/graemlins/diamond.gif[/img] (t835, 2 players)
<font color="#cc0000">BB bets t600</font>, djk123 calls t600 <font color="aaaaaa">(pot was t1435)</font>.

River: 5[img]/images/graemlins/diamond.gif[/img] (t2035, 2 players)
BB checks, djk123 checks.