2/4, QQ against pre cap and checked to on A high flop

[Vermin]

MP1 is 47.5/3.1/0.77 over 160 hands. No read on MP2.

Party Poker 2/4 Hold'em (9 handed) FTR converter on zerodivide.cx

Preflop: Hero is Button with Q[img]/images/graemlins/spade.gif[/img], Q[img]/images/graemlins/heart.gif[/img]. MP2 posts a blind of $2.
<font color="#666666">2 folds</font>, MP1 calls, <font color="#CC3333">MP2 (poster) raises</font>, <font color="#666666">2 folds</font>, <font color="#CC3333">Hero 3-bets</font>, <font color="#666666">2 folds</font>, MP1 calls, <font color="#CC3333">MP2 caps</font>, Hero calls, MP1 calls.

Flop: (13.50 SB) 8[img]/images/graemlins/club.gif[/img], A[img]/images/graemlins/diamond.gif[/img], T[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
MP1 checks, MP2 checks, Hero checks.

QQ doesn´t feel too good when MP2 caps it preflop and the flop comes A high. However, they both check to me... I´m thinking that MP2 has a pp Q:s or higher (unless his another moron but I have no proof of that at this moment). He´s either slowplaying aces or has kings or (less likely) queens and got scared of the A. Even if I have MP2 beat, I still have to worry about MP1 having an A. So I decide to check behind them and intend to call a bet on the turn and maybe one on the river depending on how things go down (i.e. on who does the betting, if both are still in). But now I´m thinking it would be better to bet the flop, folding to a raise, and check behind on the turn intending to call a bet on the river? Some other line perhaps?