I don't follow your logic. Why would a 2009 Corvette be better able to survive a war than a well-maintained 1965 one? And it's not as if the war would've uniformly damaged every single part of the Earth's surface. Naturally some places would've been devastated and others largely unharmed. Plenty of antique cars and far older antiquities survived WWI and WWII. There are still ancient cathedrals standing in cities that were otherwise largely bombed to rubble in WWII.
A major city is the most likely place to see a 1965 Corvette be kept in a collection and have been targeted by a nuclear missile, is my reasoning. A factory on the outskirts of town that made said Corvettes would most likely be a place that survived said devastation; therefore, a 2009 or 2010 Corvette would have been the best survivor of a nuclear conflict (assuming said war wasn't a MAD