Tough one for me, especially since you have no information on the two other players in the pot.
I cannot fault any of your play, the pre-flop raise was reasonable for a high pocket pair and while one caller would be better, you have to be OK with two callers and most likely the best hand.
You bet nicely after the flop, and a dangerous flop if you have no clubs so I cannot imagine both players calling with something like bottom or middle pair. At this point I would think that you are up against a K high flush who is trapping, someone drawing to the K high flush, or perhaps two pair with one of them A's. Bottom two pair or a single pair here without a club seems an unlikely calling hand.
When the board pairs I like the half the pot sized bet, but after being called and then raised, I have to think that the Q's are dead, and there is a very good chance you are drawing dead. Both players have indicated a willingness to get their money in there despite your strong betting, so my inclination would be to fold and see what they have, if they have crap take advantage of it in successive rounds. Since one player is already all-in I would lay down the ladies and hope to see A full of 5's.
