This weekend we visited a camp/cottage on Rabbit Bay in the Keweenaw:
Look to the top of the pointy part, then look down the eastern side of the peninsula until a dark splotch sticks out. That is the island that you see below. We were on the sandy beach looking at the island.
When we got back into town I did a few internet searches for camps/cottages. There's a nice one up near Copper Harbor in a town(?) called Bete Grise http://www.upfsbo.com/
To search for properties in the Keweenaw click on the map then click on the furthest northern county.
There's another UP realestate website that will knock your socks off: http://www.upwaterfront.com/ . I guess I'd live in one of the homes for sale if I had to. Check out the one on Waldo St. in Marquette. I'd live there.