As to free floating the barrel, do you have any bedding in front of recoil lug? You will run into problem with a new barrel because it cannot be exact size of barrel that was removed. I always rebed after barrel change to make sure of no undue pressure. As to free-floating, I have found sockets wrapped with various grades of sandpaper will permit even a 5th grader to open up barrel channel. Once barrel is floated-the action must be bedded because the pressure point in forearm is gone. This pressure point is there for a reason. The factories know that the union of the stock and action are far from precise, so they put contact in forearm to help support the entire barreled action. With a relatively light barrel, the barrel temperature increases per shot and pressure point usually causes barrel to whip differently after temp increases. Bedded a light barreled rifle once with no float-action to tip of forearm. It shot suprisingly well. Not much sticking out to whip I guess