NL50 6m: AJ. C-bet an ace on the flop or check behind?

[MightySan]

Villian is 16/5/2.5 with call pf-raise 6.6 and showdown stats 27/71 after 440 hands. Seems to be tight...

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

<font color="#C00000">Hero ($56.60)</font>
<font color="#C00000">SB ($51.85)</font>
BB ($17.55)
UTG ($42.20)
MP ($48.30)
CO ($20.45)

Preflop: Hero is Button with A[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/heart.gif[/img]. SB posts a blind of $0.25.
<font color="#666666">1 fold</font>, MP calls $0.50, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $2.5</font>, SB (poster) calls $2.25, <font color="#666666">1 fold</font>, MP folds.

Flop: ($6) 2[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/spade.gif[/img], T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
SB checks, Hero ...

What is your decision? We can beat only A9. Should we c-bet or not? Suppose, there were no history, rely just on opponent's stats.