Kevin, I used Klean-Strip aircraft grade paint stripper, it was $11.99 at O'Reilys autoparts. When appliying the stripper, you are going to want to apply thick globs of it all over the disc, then let it sit for 20-30 minutes, and you should start to see the paint bubble up. It should then scrape off with a plastic squeegee and a little elbow grease. You may need to do this once or twice depending on how well you strip it the first time.
Once all the paint is off, you're aren't going to want to let the sled sit around long before you paint it, or it will start to rust. I only had the paint off mine for a day or two and little rust spots started appearing. This is why a clear coat is critical; I used Dupli-Color lacquer, it holds the high luster look without polishing and buffing, but isn't as durable as I'd like it to be.
Valor, I'm not sure what to say about your finger prints, but is it possible the grease remover didn't remove the grease? I cleaned my shield with acetone before painting, and with rubbing alcohol in between each coat of paint, I have yet to see any finger prints showing through. That probably doesn't help your problem at all though, but maybe my information can be used to prevent others from having the same problem.