Well it has been a few years since I have been there and it was only for one night so I did a little research and from Springdale area southside of Zion national Park to Smithsonian Butte they have said it takes about 35-45 and that is probably up to the area which you would park lower down or maybe 10 minutes more up to the summit but you definitely need four-wheel-drive for that. Do not attempt an RV or a truck pulling a trailer or if it is muddy but the views are worth it enjoy. And I think we went through Grafton but you can do your own research easily by just looking up Smithsonian Butte on the Internet.
The easier way is like 40 miles,
The rough way would take as long time-wise probably, not sure the distance but it is actually tough. I questioned it and tried myself in a Ram 1500.