Don't use any machine polishes by hand, the micro abrasives are designed to break down at different stages at heats you just can't generate by hand. Fillers are your best bet with vag paints, something like megs nxt 2 is the best I've found. Menz are awesome but intensive polish, rather than final finish is far more easy going on vag paint. It finishes LSP ready and removes far more imperfections in one hit. But, machine only!
Best product for hand correction is megs scratch x but in my experience, it has no effect at all on my diamond pearl paint