If the surface is in excellent condition, likely all you would need is a Scotch-brite product. I would imagine that if you want a "parallel finish" that you're going to have to use the edge of a "wheel" and take lengthwise passes with it. A fine, soft wire bristle wheel may also accomplish this surface conditioning.
If you have sanding gouges to remove already, you could wrap a sheet of emery cloth around a short length of a padded 2 by 4, and take parallel strokes with it.
First you get good, then you get fast. Then grouchiness sets in.
(Note: The opinions expressed in this post are my own and are not necessarily those of CNCzone and its management)