First off, here is an excellent tutorial on prepping and glazing 3D carved woodwork...
GLAZING.PDF
I have been working at this same issue and have been getting better with it...
I use a small stiff bristled brush like you get at paint stores for removing the burrs and fuzzies from the creases and what not...
I also invested in a set of precision collets, and a good set of 3D bits.. and then use small overlaps, slow the machine down.. I decided that it was easier to just wait on the machine than to sit there and sand for a couple hours...
This is the bit set I bought...
CM404-100B-001SET
It appears that you are using pine.. This also lends to problems with fuzzies and chipping when detail carving.. The harder and tighter the wood grain, the better and more detailed your machine can cut..
Here's some pictures.. This box was cut yesterday in soft maple.. All that has been done to this box so far is to hit it with the nylon brush shown in the first picture.. There are some fine ridges in the pocketed dish around the logo face, which I'm gonna need to work on with sand paper, and to also make some machine adjustments to eliminate or reduce them.. They are created when the machine is pocketing (raster) and changes direction.. There's either a little slop in the machine or I need to reduce the acceleration or something...
I need to play with it (suggestions??)..
I'm redoing my files, fixing small issues, and gonna try another one today or tomorrow...
This isn't a true 3D carving, it's a V Carve, but the issues you are discussing are common to both types of carving..