Best possible outcome?
After a swingeing defeat in the War of 1812, the US cedes the northern part of the Northwest Territory (Michigan and Wisconsin) to Britain, which declares the area a reserve for the Indians of the West. Tecumseh's people all retreat there over time, along with additional Indians from upstate NY, from IL, maybe even from the Old SW, also from Ontario.
The area had lots of French woodsmen, as shown by the many French toponyms (Fond du Lac, Detroit, Charlevoix, Sault Sainte Marie). Probably the area fills up with Métis settlers as well as Indians. The Métis would be the coherent population that occupies the territory and excludes Americans.