How old is the Vette? Hagerty and Grundy are the biggest names in collector insurance. My 67's with Hagerty and I still drive it. The policy's year round, meaning if I want to take a ride on Christmas Day, I can without having to make a phone call. I'm pretty sure they'll have something to suit your needs. Pretty sure you're not the only one just storing. The problem with going with a standard issue insurance company is what your vehicle's worth. Something untoward happens and they'll pay what their book says your car's worth. If your appraisal says $25,000 and their front office says $12,500, guess who eats the difference. I have mine covered for replacement value. That's the difference between standard issue and collector car insurance. A Google search and a few phone calls are well worth your time and could save a lot of heartburn down the road. Good luck.