Once you have a chance to figure out how worthless that dremel is, you'll see the wisdom of a very sharp chisel gouge, a few scrapers and patience.
However, I do use a couple or three hand planes when shaping a stock. My favorites are a 9" smoothing plane and a Stanley low angle block plane. If they are razor sharp, they will remove wood pretty quickly (sometimes too quickly) and leave a smooth, flat surface.

One trick you may need to try before you declare your project finished- Assemble the bottom metal to the action outside the stock and note the relationship and angle of the bottom metal to the action. Most of the time, this is an angle toward the foreend. You will need to maintain that angle for the proper fit and feeding of the magazine. - Sheister