Interesting that WRHL was in that group that you were hearing. Almost certainly daytime skywave. 250 watts and very directional to the west. I'm 40 miles northeast of Rochelle, and I never hear it. Here, daytime, it's WHFB from Benton Harbor, MI. Weak, but completely alone. It's one of those stations that, when it goes to 50-watts night power (same "severe" pattern as daytime), you can be within sight of the towers and still not hear it!