I did this just last week. Two to three Paterson reels (when sized for 120) will fit in a Unicolor 8x10 print tube. They'll tumble over the paper guides as the drum rotates but that shouldn't be a problem. You can get about 600ml of developer (or any bath) in the drum without it overflowing from the spout. All of this works fine. Unfortunately my experience doing this was overdeveloped edges. I posted this in (there was a url link here which no longer exists) recently. Of course, the film I was developing was exposed all the way to the edges, so it could be that this problem isn't as obvious with film exposed in a camera that masks the edges (most cameras). Or maybe it's just my problem. If you try it, look closely at your edges and report back. Or better yet, post some scans. I want to believe the Paterson reels simply aren't designed for rotary processing, but all the plastic reels I've seen kind of look like the same basic design, so I'm just not sure.
I was given a Unicolor Film Developing tube awhile back, accompanied by the proprietary Unicolor reels. They have moved on, but I may still have the instructions somewhere.
Matt, if you do find the instructions, I would also be very interested in seeing them.