On paired boards, I generally like to check or call as it's usually a way ahead or way behind type situation. Either he has a Queen or pocket 3's and you're drawing to two outs or he doesn't have those hands and HE needs a lot of help. When you raise, you're basically asking all those hands that are way behind you to fold and all those hands that are way ahead to call or raise you back. It IS possible that he is on a flush draw, but that's probably a small part of his range. So, I would just call for those reasons and then evaluate what to do based on his action and player type and tendencies. As played, it's tough to say for sure what the best play is without any knowledge of the villain or your image. I mean, you've put in a quarter of your stack with aces, so folding to this board seems like a bad play without a good read otherwise. I guess we're putting him on KQ, QJ, or 33? I doubt QQ, AQ, or 33 are viable hands for him to have. If he's the type of player to have any random Qx, he could just as easily have any other whiffed pocket pair. On the other hand, I'm not a huge fan of just automatically stacking off especially when facing this type of aggression. Knowing a little bit about your villain would REALLY help. By default with no knowledge of a $2NL player, I probably stack off and, win or lose, make a LOT of notes. But, had you played the flop the way I described, I think you would have minimized your losses IF you were behind and still would have made some decent money if you were ahead and been armed with more notes to make even better EV plays in the future against this villain.

Generally speaking, raising for information IS bad. It's basically like saying "I'm lost in the hand so I'll throw more money in and see what happens". You want to bet/raise for value, as a bluff, and for protection. By protection, I'm basically saying that you need to charge draws a bad price to draw or charge villain a bad price for you to continue with a marginal hand that they could easily bluff you on - pocket 9's on a 8 5 2 rainbow board for example.