You really need to include the Upper and Lower of Michigan. August really isn't that bad for bugs. It gets cooler and less rain.
As soon as you enter the Upper Peninsula of Michigan from Wisconsin stop at a Chamber or Visitor Center and ask for the waterfall map. There are some nice ones with easy access on the western UP. Fort Wilkins State Park is a favorite of ours at Copper Harbor. Stay in Munising to tour Pictured Rocks Nat'l Lakeshore for a sunset cruise. Stay at Tahquamenon Falls State Park to tour Whitefish Point and the Great Lakes Shipwreck Museum.
Stay in St. Ignace for a day ferry trip to Mackinac Island. Bring your bikes if you have them along or rent them on the island. If you want a more touristy area cross the Mackinaw Bridge and stay in Mackinaw City. (Yes, it's spelled two different ways up there).
Then travel down Hwy 31 to Petoskey (state park), Charlevoix (Fisherman's Island State Park is rustic and nice), Traverse City and if you're lucky to secure a spot, stay at Platte River campground in Sleeping Bear Dunes Nat'l Lakeshore. We volunteered there and also gave the lighthouse tours on So. Manitou Island, part of the park. Take the ferry there from Leland. That whole peninsula is an absolutely beautiful place. Explore the small quaint towns. You'll love it. Promise!!
There are some nice national forest campgrounds in the UP of Michigan:
https://www.forestcamping.com/dow/list/nflist.htm#michigan
Full-Timed for 16 Years
.... Back in S&B Again
Traveled 8 yr in a 40' 2004 Newmar Dutch Star Motorhome
& 8 yr in a 33' Travel Supreme 5th Wheel