A
correctly done
stress free bedding job and free floating the barrel is what you're looking for. Pillars are a must, as is using a bedding compound that's designed for the job. Leave the hot glue gun sticks at Hobby Lobby.....
Proper bedding on a 700 includes the trigger guard, it's mortice cut, the fit of the mag box in the stock, the clearance between the action screws and pillar I.D., trigger clearance, doing the recoil lug correctly, detailing the bedding afterwards to eliminate high spots....and about a dozen other subtle things that are hard to explain but contribute to the final result.
If the barreled action doesn't literally fall out of the stock when the action screws are removed, it's not right.
Good shootin'.
-Al