Mine costs very little to insure and that's with full coverage. I'm afraid you are buying into a myth, Iron.
I'm only guessing due to personal experience and that of my friends but I'd say that Vettes get in less accidents per car, than say, your Honda. My logic is that most vettes get driven less per year than your average grocery getter, typically get better care than said grocery getter, are garaged more than your average grocery getter, and the average age for vette owners is a bit higher as well, due to cost of buying one.
Sure there are plenty of DD vettes out there but there's a higher ratio of weekenders and garage queens out there than your average pickup or econobox.