Have you been to the rocket garden at KSC? The Saturn V isn't vertical, but they've got almost everything from the Redstone and later vertical. I was in Florida in 2018 and I think they were getting ready to display a pair of SRBs. They did have Atlantis inside, too. And of course a horizontal Saturn V.

I saw that Saturn V as a child once, too. I think that the Saturn V really made me the person that I am today. Seeing something so huge, that is literally engineered down to every last tenth of a millimeter - that was profound for a young child. I could not believe how detailed that rocket was, yet so huge. There should be an engineering term for the size of a machine divided by the smallest critical engineered component of the machine. I don't think any machine would have beat that in the Saturn V's day - maybe some ocean liners?