Bet/3-Bet or Check/Raise?

[crunchy1]

Villian here is sLA-N. For those who like stats he's something around 27/9/1.6.
He's not an idiot but he's not a superstar either. His steal/defense percentages are pretty close to optimal.

I know some will disagree with the PF call - that's OK. I don't feel it's that bad given that we already know it's HU and there's a very good chance that we're dominating Villian here.

PreFlop: Hero is BB with A[img]/images/graemlins/heart.gif[/img]Q[img]/images/graemlins/club.gif[/img]
<font color="#666666">7 folds</font>, <font color="red">Button <font color="purple">(Villian)</font> raises</font>, <font color="#666666">1 fold</font>, Hero calls.

Flop: (4.5 SB) 5[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/heart.gif[/img], 6[img]/images/graemlins/diamond.gif[/img] (2 players)
Hero checks, <font color="red">Villian bets</font>, Hero calls.

Turn: (3.25 BB) A[img]/images/graemlins/spade.gif[/img] (2 players)
Hero???

Assume that we're ahead on the turn here.

So here's the question: Who checks hoping to check/raise? Who donkbets hoping to 3-bet? Who does something else? And why?