This is Jim, Marc's friend ... I've turned maybe 3 dozen Invisavue pens (some SlimLines, Atlas, Cigars, El Grandes, and a couple of Barons). Here's my take on this blank:
It is a bit of a pain to work with ... until you get used to it. Then you'll really like the sheen. If you work with dull tools, it will melt. However, I'm learning through experience that I am probably turning too fast, so this perhaps a slower speed will let me not have to sharpen/hone as often.
I have a jig on my table saw for cutting blanks to length. I trim the end, then cut to length (tube length, plus a little). Even with a sharp table saw blade, there a little 'melting' ... a small burr that easily breaks off with my thumb.
When drilling the hole, I've learned to drill 1/4", and then add a little water to keep things cool. Drill another 1/4" and add a couple drops of water, repeat until done.
After gluing in the tube, I use a disk sander to square the ends ... more melting (I've tried 80 grit (too rough), 120 grit, and 220 grit ... all result in some melting). Like the table saw, this melting is easily broken off with your thumb.
I then start turning with a gouge to get 'kinda close' to the size. Then I switch to a skew with some planing cuts. This results in a smooth surface, almost ready for sale.
If I had a hard time, I might use the skew as a scraper to even things out, and then the planing cut. If I start the day with a freshly sharpened skew, and occasionally hone as I go, I get 3 or 4 Invisavues before hitting the grinder again.
I then use wet sandpaper, (400, 600, sometimes I jump to 1200); sometimes I use micromesh instead. I follow this with Hut acrylic polish. 600 grit is all you really need, but I've noticed that going to a high grit means the Hut doesn't turn as black. I take this to mean it is cooler, therefore less chance to the tube getting too hot, expanding, and cracking the blank (this has not happened to me with Invisavue, but has with Acrylic, Lucite, and some woods).
If I sand to 2000 grit, I almost don't need the polish at all.
Hope this helps...