Having lived in that exact area the past 10 years, I could not recommend October. I have had to break ice in October with my canoe. I have also seen temps drop 20 deg in a few minutes when the wind switches and comes out of the East. Also the GM CG closes in mid Oct. Many seasonals are parked there permanently, but they are winterized and no hookups are available. Sept and early Oct would be safest and I am not sure about that, especially any part of late Sept and Oct!
One of the reasons we moved south was we did not like having to cut the fall trip short hoping we could still get home in mid Oct. I would rethink the timing. Northern WI and the UP of Michigan might be a bit more forgiving during that time and just as pretty.