Gasconade, Eleven Point, Big Piney, Buffalo...
Lots of places to choose from. None of them are going to be totally secluded but they do offer good fishing and at that time of the year there won’t be a ton of other people around.
Some of the smaller rivers you would be better planning around 8 miles per day just depending on how you fish. You can either shoot for large distances each day, cover a ton of water, and catch lots of fish. Or you can do shorter distances, relax a bit, and still catch lots of fish.