I dare to ask a preflop question

[sweetjazz]

Without trying a stove, I'd think about what kind of boards are likely to result in you being a winner. First you have the times when your QQ is the highest overpair and it manages to hold up. Then you have the times where you manage to back into a four card flush or straight that is good. Finally you have the times when you spike a third Q (about 20% of the time) and your hand holds up. You'll lose with your sets fairly often when they don't fill up and someone makes a straight or flush. Even so, I'd imagine your equity in this spot is 25% or so, maybe as high as 30% if the cold-callers are willing to play absolute junk in this spot.