If you go to an automotive paint supply company they will have all kinds of stuff you can use that will work really good for this. Those places have a number of different grit level compounds you can use. I wouldn't go to a place like autozone, I would look for a place that supplies and mixes paint for body shops and dealers. There should be one close to you, they are all over the place. I have some stuff I have been using for years that I got from one of these places, it doesn't have a name brand on it but it works amazing and smells like bananas. I use it with a wool pad. I would contact one of those places.
You could just look up something like "house of color" online and find a dealer. House of color is a paint that specializes in candy type paint, usually the dealers are very knowledgeable about this type of stuff