I currently cut 8-ply on my C&H and after some practice. I now do them quite frequently, as follows:
1. Start with a new blade, as I do for each new job.
2. I use the 1200SE (single edge blades) but I know some others use the double edge blades, but the single edge work best for me. Also I use the 1200 width blade, not the wider 1500 that some people recommend for 8 ply. I find the wider blade has to push more of the mat away as it cuts, so it does not work for me. To look at the impact of the width of the blade, pretend a thicker blade was 1/4 inch wide. As you push the 1/4 inch wide blade through the 8 ply, the blade has to push the 8 ply 1/8 of an inch in both directions, laterally, so you are probably going to have problems.
3. The blade depth is going to have to be deeper, so I extend the blade to a preset point that I have determined in earlier tests. I use the same blade depth for all cuts / swipes of the 8-ply mat.
4. I make 3 or 4 swipes on each cut, for each side. For example, assume I am cutting the bottom mat. I would have my first cut, just go in slightly in the mat. Make sure your pressure where you hold down the bar is constant. Then go back and make my second cut, just a little deeper. Then the third cut even deeper, then the 4th cut all the way in. As long as I keep the pressure constant for all four cuts I have had no problems.
5. When done, I check the corners. On occasion, I might have to hand cut a corner. My preference is to always undercut slightly, vs. overcut, but I try to do neither. If I overcut, then I have problems when I leaf or paint bevels. An undercut I can finish with a blade.
Note, the only time I do a single swipe on 8-ply is if I am doing strips for something, or cutting for pin-wheels. Then I just start the cut before the edge of the mat, or have a starter mat with a bevel that I do the cut in.
I hope this helps. Again, different people do it differently, but this works for me.