I can't speak for the K3, but 9/10 on the Fox, I just drop in and fish. I paddle to the areas I want to fish, whether they are upstream or downstream of me, and then paddle back to where I launched. As you learn the areas you'll learn where to concentrate on and what to bypass. Start out with shorter routes and work further and further away as your familiarity and comfort level increases.
The K3 has a much higher flow than the Fox and can be dangerous. And keep in mind duck hunting season, etc. and know the areas where blinds are. Stay clear of them. Talk to locals at bait and tackle stores and get a lay of the land so you don't get into trouble this fall.
Like anything there's a learning curve but as long as you don't bite off more than you can chew, it should be fun and rewarding. http://www.openlands.org/kankakee-water-trailshttps://www.dnr.illinois.gov/Parks/Page ... River.aspxhttps://www.dnr.illinois.gov/Parks/Page ... aines.aspx
A great resources for other areas to paddle:http://www.openlands.org/filebin/pdf/No ... s_4_08.pdf