Valentino's Snake Oil is excellent and has no abrasives (I think!!!). I am also using Motiv's Power Gel Polish which produces a pretty deep shine. I do not think that Motiv's polish contains any abrasive, but I could be wrong.
Pete and Relentless1,
All polishes contain micro-abrasives. They are not coatings, like paint or varnish or polyurethane. That is how you get a shine/polish on a ball. It's the amount and size and type of abrasive used that leads us to say a polish is a non-abrasive type. It just allows a much wider range of polishing than the more abrasive types. "Non-abrasive" polishes just take longer time, more effort, and more polish to put on a high gloss shine.
So, Relentless, as I see it, if you continue t do it by hand, you will need a stronger polish to get a decent shine. One strong one that I like a lot is Storm's Xtra Shine.