classic line Insurance

Ive done all my ringing around for insurance, Classicline said they no longer insure Classic Cars that are parked in private car parks in London (well underwriters said).
so 5o odd years old clean free licence £450 and 3000 miles, value £1700 it needs respray how long can i carry on paying this price for insurance, and my London Taxi is £1300!

Classic line just told me they didn't insure cars like mine anymore, however what you say about car parks explains it for me...