You can get a half way decent shine on a ball by hand, but no more than that.
1000 grit is fairly rough surface when putting on polish. By hand it will be even harder to do. While there are more than a few good polishes out there, by hand, I'd suggest some of the more abrasive ones, especially if you want to leave that 1000 grit surface on it.
Try Storm's Xtra Shine, Lane#1's Secret Sauce. They are among the most abrasive and that will hep getting a shine on them.
Using a see-saw to buff the polish to a higher gloss is a good idea.