Oh boy, what a mess...and not of your doing. I feel for you, having been in dormitory situations where the music shakes the walls and you seem to be the only one who cares.
But in this case, at least you're not alone. It's been observed by others that the dogs are out of control. If I were a lawyer, I would probably tell you that there's nothing anyone can do without written accounts by witnesses. But if a few of your neighbors are doing that or willing to do that, the dog people can't target you specifically. Maybe get the neighborhood watch to start a petition about the dogs and find out how many are bothered by it? That way it's not YOU, it's everyone.
I would be uncomfortable too, but if it's the only way to make your neighborhood safe again, you might have to bite the bullet and get it done. These people don't believe that there's anything wrong with their dogs or the way they're being handled ("they wouldn't hurt a fly!"), they need to be TOLD by authority.
We have neighbors who think it's fine for their rottweiler to be out barking constantly for eight hours at a time in 20 degree weather; no shelter and their water is frozen....I "smell what you're stepping in".
Good luck with it. Remember, petition. Might work.