Do you want to reduce sound transmission to other rooms, or just attenuate the vibration of the walls inside the room? Since you say that you have "batt" insulation, I assume it's the soft compressable kind and not the rigid kind? If that's the case, I would fill the wall cavities completely. I don't think squeezing 100mm of insulation into a 90mm space will be of great detriment to its acoustic properties - but I'm not an expert, so don't take that as gospel.
If your walls were vibrating badly, I would do a thorough inspection of the studding to ensure they're all tightly secured in place. If you're walls were covered with plaster, I assume the studs also had lathes attached? That could be a source of the vibration as well. Will you be using sheet drywall to cover your studs? If so, that may stiffen things up. You could even put a double layer of drywall on, separated by acoustic adhesive, like Green Glue.