One tip I've learned over the years is to evaluate how the barreled action is currently bedded before changes are made. This can be easily done by removing it from the stock, cleaning oil from it, and applying a thin coat of lamp black, or prussian blue, or lipstick (get the stuff from the $ store) on the underside of the action and barrel, and then carefully install it and tighten the guard screws. Once removed, an imprint will be left that will give you an idea of what kind of contact you have. Poor contact of the stock with the action area, or uneven contact in the barrel channel are not good for consistent accuracy. I have learned, but many may disagree, that good contact in the following areas generally gives good results:
-rear tang
-front receiver ring
-rear (and possibly sides and bottom, but not front) of recoil lug
-a few inches of the chamber area of the barrel
-some may benefit from a small contact area at the front of the forend
If your rifle isn't well bedded in these areas, it can easily be corrected by glass bedding.
The wooden dowel and sand paper method of floating the barrel is good advice, just go slow to make it look decent
Good luck