Free floating the barrels is not the be all, end all, of rifle accuracy. In the decade of the 1950s, when competetive shooting was in it's hay-day and the great multitudes were shooting, instead of golfing, much was written about barrel bedding. One could go to the newstand and select half a dozen magazines devoted entirely, or at least partly, to shooting and hunting and each had a shooting editor who experimented with such things.
It was generally agreed that barrels should have pressure that pushes them up, for best accuracy. They even agreed that about six pounds of pressure was right for the average sporting weight barrel. In our box of shooting equipment was a spring scale with a hook to fit over the barrel. We would stand the rifle upright, hold it by the stock, hook the spring over the barrel and see how much pressure was required to spring the barrel away from it's pressure point. As stated, about six pounds was recommended, and that has usually worked for me.