Depending on the weather, I would start either at Smithville (M-66) or Rainbow Jim's landing and paddle to Chippewa landing just upstream of the US 131 bridge. Chippewa landing is a livery I work with. That upper stretch will be quiet, I would be surprised if you see anyone at all. Campsites are not overly abundant, but they are there.
Contact Rick Shafer at http://www.chippewalanding.com
He is a great guy and can take you to the put in and you can leave your car at the livery safe and sound. Tell him I sent you. We work a lot together. PM me if you want more details. I don't want to give away all my river secrets to 10,000 people here.