I'm a pistolsmith and, as such, have little experience in bedding rifles, although my business partner has done a great many. I can tell you, however, that from what you describe you can probably expect quite an improvement in accuracy from a good bedding job. If your action is moving around in the stock, accuracy has to be suffering somewhat.
You might also consider pillar bedding, in which limiting sleeves of a certain length are installed in the stock screw channels. This regulates the amount of force exerted on the stock when these screws are properly snugged.
Are you planning on doing this job yourself, or having it done by a gunsmith? If the former, it's not that big a job if you just take the time to do it properly -- and do ALL your reference research before you mix up a batch of 'glas and start spreading it all over the inside of your stock.