Purely from the knowledge I have read on Autopia (haven't personally had the pleasure of working on a Vette yet), the clear on these cars seems to be very hard, a bit like VAG cars in the UK. Regardless of a car's reputation, I always start of with a mild combo and work up the ladder as mentioned above on a test section as it only takes moments to do and is the best way I find the thoroughly assess the paint and the defects and what they require.
With hard paints, I generall find the Menzerna ceramiclear polishes to be amojst the most effective I have used, PO106FF Final Finish by rotary and even PC is enough to correct light swilrs even on very hard paint owing to the length of time it takes the abrasives to break down so you have a good length of cutting time to play with. If needs be, I step up to PO85RD3.0x Intensive Polish which I find more than capable of removing medium swirls by PC, even on harder paints. If, and only if, IP is making no head way whatsoever will I crack out the Power Gloss Compound (S34A) as by PC this will leave its own marring (its really best used by rotary, but can be made to work by PC using a slow cutting method) and needs followed with lighter abrasives to refine. Effective though, but a last resort in my book.