How Would You Have Played This Hand?

I sat down in Casino Regina this evening and put some money on the $1/$2 no-limit cash table. I was in seat 9. The play was really loose, money flying everywhere - and I noticed that a player in seat 3 would play any Ace from any position. He was young and obviously very new to live poker - he was doing the Phil Laak thing - hoodie and sunglasses. He constantly put money in out of turn and was playing like he believed that any A was destined to win. The table was so loose, that I just hung onto my chips and didn't try to make any plays at all, knowing that if I just hit one hand - I'd make a huge profit.

About an hour into the game, I caught QQ in my pocket. I'm on the button. Several players limp, telling me there is nothing of real strength there. So, of course, I raise, hoping to scare off all those silly little hands. I made it $20 to go - 10X the big blind and about 1.5X the size of the pot (which wasn't a terribly over-sized raise at that table but big enough to tell everyone that I'm good - and drawing hands are getting a terrible price). Seats 10, 1 and 2 all fold. Seat 3 calls. I'm assuming some kind of A in his pocket - but no pairs, at least not big ones. Seat 4 folds. Seat 5 calls - a player I don't have much of a read on yet. Everyone else folds. Flop comes 10 A 2 rainbow.

Player 3 is first to act and he bets $25. He is quickly called by Seat 5. I am now assuming that my Q's are dead - especially considering 3's penchant for playing ANY ace. And seat 5 wouldn't call $25 on that scary of a flop with nothing, would he? So, it hurts, but I fold.

Turn comes K. 3 bets hard, 5 calls. I'm really glad I folded now. River comes 5 - a blank (except for the off chance that someone stayed in with 34 - but with the $20 raise, I doubt it). Again, heavy betting after the river. (That's Betting with a B, Gil) It goes to showdown. Seat 5 showed his cards first and turned over 66. Seat 3 mucked. And I'm stunned. Should I have folded that hand? How could I have possibly played it?