Munising Tourist Park just north of Munising (actually over the hill by the Holiday Inn). Full hookups at some sites, the "new addition" sits "directly on the shore of Lake Superior" (and I mean when the wind blows your rig gets wet proximity to Lake Superior). We prefer site 72. you can see the map here, Click on any site and it will open a photo of the actual site.https://munisingtouristpark.com/reservations-2/
There is a new campground in Christmas (about 10 miles west). It looked nice, but is not on the water.
Whatever you do, DON'T make reservations at Gitche Gumee RV Park which is just east of the Ojibwa Casino just east of Harvey (Marquette)Ö. It's a private campground with LOTS of complaints about everything from not honoring reservations to not honoring pricing upon arrival. I've never stayed there (based on recommendations of others) so I have no first hand knowledge, but the locals won't recommend it.