Smart or chicken...No c-bet with AA (NL25)

[limit refugee]

Villain is like 20/8 over enough hands to believe it, never saw the min open raise before from him. With stax so large , normally I'd reraise more, but I didn't was hoping for a call from the 88/10 button who I wanted to finish off.

Anyway, i figured he had either a low pocket pair or the flop hit him very fatly and didn't want a c/r on the flop, so I checked.

Mebbe that was or wasn't a dumb decision, but once I made it, what's the plan after?

PokerStars No-Limit Hold'em, $0.25 BB (6 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

MP ($22)
Hero ($49.50)
Button ($12.50)
SB ($21.80)
BB ($25.35)
UTG ($67.95)

Preflop: Hero is CO with A[img]/images/graemlins/club.gif[/img], A[img]/images/graemlins/diamond.gif[/img].
<font color="#CC3333">UTG raises to $0.5</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $2</font>, <font color="#666666">3 folds</font>, UTG calls $1.50.

Flop: ($4.35) T[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
UTG checks, Hero checks.

Turn: ($4.35) 2[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">UTG bets $3</font>