You can put a shim behind the front action screw - between the stock and the action - that will slightly lift the barrel and "free float" it. You also loose whatever contact that you had with the front of the action to the stock - on some rifles that makes a difference, on some it does not. Maybe think of the shim thing as a basis to test the idea - to see if the rifle shoots better groups? Can also be done by installing shims under the barrel at the fore-arm tip - to create "up" pressure there. Sometimes can see a change in groups, sometimes can not. Can make the change "permanent" by epoxy that shim into place. I do not own bench - rest or pure target shooting rifles, but my most accurate shooter is completely and solidly bedded from the rear tang right through to the forearm tip (except front, sides and bottom of the recoil lug). It is a Remington 788 in 243 Win. It may be my most accurate rifle in spite of the bedding job.
On Mausers and similar, I prefer to have the rear action screw area "solid", the flat behind the front action screw "solid", the magazine box not touching the underside of the receiver, and the receiver not touching the wood of the stock through that magazine area. Then, in apparent heresy, I like to have glop of epoxy under the chamber so that there is about equal epoxy bedding ahead of and behind that front action screw. Except for that one rifle of mine, all the rest allow about 3 layers of computer printer paper to pass along the barrel from chamber area through to fore arm tip, when action screws snugged up.