RE: Can Floating a barrel have negative effects?
Sounds as if your action screws are either loose or worked the stock loose. Even though its glass bedded, this can happen. One thing you can so is take a old credit card and slide it underneath the forearm. Or something stiffer. See how it shoots.
One thing I notice when freefloating a barrel, you got to let it cool every two rounds. Try letting it cool 10min between shots.