You'd think we've been there having a camper and living in MI doing all those vacations "up North" LOL. Nope: Been to Sleeping Bear Dunes but never did that drive.
Looking at the website:
https://www.nps.gov/slbe/planyourvis...cenicdrive.htm
It would appear your biggest concern would be the covered bridge:
https://www.nps.gov/slbe/planyourvis...eredbridge.htm
but that shouldn't be a problem given that pages says there is 13 ft 6in clearance.
We've been to other scenic areas with our Axis and really did not have an issue because of its size. If anything Axis/Vegas units are made for this kind of thing since they are so small.
Of course, now that you've pointed it out I do want to go there now