The Smithsonian has a transportation exhibit, but it’s been many years since I’ve been, and I’m not sure how much is cars.
https://americanhistory.si.edu/explore/exhibitions/america-on-the-move
It may be too far, but Luray Caverns has a fantastic car and carriage museum. I don’t even like cars, but found theirs interesting.
https://luraycaverns.com/explore/car-carriage-caravan-museum/