I just use my regular insurance company that does my daily driver.
My cars, ( I have a ughh Chevy too ) my brother's 'Cuda and my Mom's Firebird are all covered by the same company.
As a matter of fact, I have 2 uncles with Vettes that use him too.
It happens to be State Farm - I have $15,000 at about $52 a half. I think you get a little more "buying discount" by using one company for all my cars. Plus I have extras like covered tows - it's embarassing but I've needed it.
As a nosey question, have you had your car appraised? 12,000 for a good first gen E-bod seems a little low. I know a lot goes into an agreed value, but when it's all said and done 12,000 for shopping, buying and possibly shipping seems a little low. ( just my opinion )