$11 NLTRN: AQo OOP, I hate these spots

[Somekid]

I didn't have any great reads yet, but my opponent was unpredictable. I had a feeling that my opponent was floating me some postflop (when I was in position, he was calling my cbets, and I ended up having to fold a couple rivers after c-betting the flop w/ air). He would also do things like throw in big c/r or raises on scary boards, etc.

Anyways, I hate spots like this. What is my flop plan. Bet/fold? And if I get called, do I check/fold? The frustrating part is that if I cbet here and get called, I'm going to have to give it up probably, and I'll have invested something like 500 chips on this hand (and I'm worried that my opponent could be calling here w/ overcards or a weak draw).

PokerStars No-Limit Hold'em Tourney, Big Blind is t30 (2 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Hero (t1315)
Button (t1685)

Preflop: Hero is BB with A[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/heart.gif[/img].
<font color="#CC3333">Button raises to t90</font>, <font color="#CC3333">Hero raises to t270</font>, Button calls t180.

Flop: (t540) 6[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/diamond.gif[/img], 5[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>