About getting down from Chicago, I'd take 55 to Pontiac; all pretty undeveloped, lots of high speed driving. Any father south and you're near Bloomington, and from there 74 is pretty heavy with cops.
What I each week is leave 55 at Pontiac and drive west on 116 to Peoria, about 55 miles of rural two lane. I've seen one speed trap in five months, though cops dop drive up and down with their radar on from time to time. If you have a V1, they are no problem. With the crops in, everything's pretty wide open. Just follow the speed limits through the towns; a coworker blasted through one and they called the cops in the next town who were waiting for him.