We live in Chicago and are interested in doing a canoeing and camping
trip over the long 4th of July weekend. We've done the lower
Wisconsin River before and really enjoyed it, but would like to try
something different this time.

Does anyone have a recommendation for a good river or lake/series of
lakes to canoe and camp? We'd love to find a place with:

-quiet water (no or few rapids)
-quiet canoeing (no or few motor boats)
-secluded camping (backcountry camping or quiet designated sites)
-pretty scenery
-good fishing
-within 6 or 7 hours of Chicagoland, but closer is better
-canoe outfitter/rental and shuttle/drop-off/pick-up services

Portaging is not be a problem.

Are we dreaming or does such a place exist? Any suggestions are
appreciated, thanks.