Vettes can be a bear (hard clearcoat, angles, etc), espicially on black. I've heard of people taking 10+ hours on a car of that type/year. To remove the hazing, I would suggest Poorboy's SSR2 or
Menzerna FPII (or PO85RD if you really want it to shine/are willing to spend the money).
I wouldnt use the 3M glaze if I were you, I have used it on repo details, etc, before, but its one of those things that'll come off in a month or so, leaving the car looking a bit less than new.