If you don't like the Kidsilk, my LYS made a gorgeous Modern Quilt Wrap from Stacey Charles Ritratto. It works up similarly to the Kidsilk with a subtle metallic sheen and a bit less fuzz. I think it would be great in a Luna shawl.
Cute! I've been staring at my Bodum for months trying to figure out what to make for it, and here you have the cutest solution! The best cozies are the ones that cover the opening because they retain heat better, so yours is perfect.
I would suggest making a practice pair of regular socks first. Maybe a child's pair in a worsted weight yarn so it goes quickly, but you get the idea of the basic way to turn the heel and stuff like that. Once you do that you should have a better idea of how to adapt your pattern.