C/R bluffed AQ on flop, hit turn

[Halv]

No IQ poker 2.00/4.00, hand converted by the iPoker Converter at Talking-Poker

Button ($484.16)
SB ($511.10)
BB Hero ($394.00)
UTG ($227.80)
UTG+1 ($307.50)
CO ($390.00)

Preflop: Hero is in the BB with A Q
2 folds, Button raises to 16.00, 1 fold, Hero calls 12.00.

Flop (34.00) 4 9 6
Hero checks, Button bets 12.00, Hero raises to 66.00, Button calls 54.00.

Turn (166.00) A
Hero ...

Villain is 43/24/2, no real reads on him. Preflop is gross. I'm so far ahead of his calling range that not 3-betting is burning money, right? Flop play seems pretty ugly too, these guys usually don't like to give up alot. Now that we are on the turn, what do we do? I'm thinking bet/call?

[EzDuzIt]

i think most of his range here would be draws and pps.
bet/call seems fine to me.

[zook]

3-bet pre. Flop c/r is fine. I like c/c turn b/c he folds a lot if you show you aren't scared of the ace but it's a great bluff card for him if you check. Most likely c/c river, although you could bet/fold a diamond for value maybe.

[benny999]

betting might induce a push from a draw, but zook's right - it shows a lot of strength.
but i hate checking if he's not going to put more $$ in without improving...hmm tough spot, but id prob bet.