So, the shaking goes away when you’re on the brakes?
If that’s the case that’s actually helpful. If the studs were causing the shake it should happen all the time regardless of braking. If the shake goes away when braking that frequently is a bearing issue of some kind, the calipers holding the rotors takes the pressure/end play on the bearings out of the picture.
For example, if the bearings aren’t fully seated on the races, or there’s too much end play you’ll get a wobble at the rotors because of the play. But, when your step on the brakes the calipers grab the rotors and keep the rotors from wobbling.