If you do a google image search for
"davidson center for space exploration"
You'll see that we have a mock-up of the Saturn V standing upright (just an empty can in the right shape and painted the correct colors) and a 'real' Saturn V laying on its side, partially disassembled (so you can see some of the hidden structure that's more interesting than the external fairings that would otherwise hide it). Both are visible from I-565, which is the main east-west road through Huntsville.
The Davidson Center was opened around 2008 or so. Until then that Saturn was outside.