25 NL FR - AA vs. big draw

[whodatdare]

First HH posted here. No discernible read on villain. Only 35 hands in PT history, but plays very loose PF
(40.5/2.5/.4) My question is which is the better decision? Punishing villain w/ poss. FD or him calling my AI in his situation? Can someone discuss both sides of the case?



Full Tilt Poker
No Limit Holdem Ring game
Blinds: $0.10/$0.25
9 players
Converter

Stack sizes:
UTG: $27.05
UTG+1: $32.25
MP1: $20.30
MP2: $25.20
MP3: $11.40
hero: $20.40
Button: $36
SB: $21.25
BB: $24.50

Pre-flop: (9 players) hero is CO with A[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/spade.gif[/img]
4 folds, MP3 calls, <font color="#cc0000">hero raises to $1.1</font>, Button folds, SB calls, BB folds, MP3 calls.

Flop: K[img]/images/graemlins/club.gif[/img] T[img]/images/graemlins/spade.gif[/img] 9[img]/images/graemlins/spade.gif[/img] ($3.55, 3 players)
SB checks, MP3 checks, <font color="#cc0000">hero bets $3.55</font>, SB calls, MP3 folds.

Turn: 4[img]/images/graemlins/club.gif[/img] ($10.65, 2 players)
SB checks, <font color="#cc0000">hero is all-in $15.75</font>, SB calls.

River: : ($42.15, 1 player + 1 all-in - Main pot: $42.15)


Results:
Final pot: $42.15