If you are interested in crossing the border, take the Trans Canada highway around Lake Superior or go thru Michigan and cross at the SOO and take the Trans Canada from there. Great places to see/stay on the Canadian side: Lake Superior Provincial Park, Killarney Provincial Park, Algonquin Provincial Park. The Trans Canada will take you to Ottawa (our capital, which has great museums like the Smithsonian but not as big) and on to Montreal on your way east where you can continue east along the St Lawrence Seaway to New Brunswick to Nova Scotia.
Lots of great drives with great scenery along the top of Superior, the Ottawa valley, the St Lawrence Seaway etc... No offence meant but much of the area around Lake Erie and Lake Ontario (on both sides of the border) to be quite boring, trust me I live there:). Taking the Trans Canada side will allow you to go around the boring.