From 1981-84, WMBD-31 (CBS) in Peoria, IL aired "Hee Haw" at 6PM Saturday evenings. Before '81, I have seen old listings that indicated that ABC affiliate WRAU-19 (now WHOI) aired the show at the same time. From about '84-'91, the current Fox affiliate WYZZ-43 aired Hee Haw at the same time previously broadcast by channels 19 and 31. I don't remember if the revamped '91-92 version or Hee Haw Silver the following year was aired in the Peoria/Bloomington market.
Hee Haw generally aired in Springfield/Decatur Champaign at 6PM Saturdays on Springfield's WICS-20 (then NBC, now ABC since last fall) and its sister station, WICD-15 Champaign. It also usually aired the same time on Quincy's CBS affiliate, KHQA-7, during the '80s (I might have seen listings showing that it aired on a weeknight in that market in the '70s, even if it meant bumping a CBS show).
The broadcast history of Hee Haw in the Quad Cities market is interesting. Throughout the '70s to about 1980 or '81, CBS affiliate WHBF-4 in Rock Island had the rights to the show, and appeared to air it on weeknights. Before "Dallas" came into the 9PM slot, channel 4 aired HH on Friday nights at 9PM in the fall of '78. Then after "Dukes of Hazzard" premiered in early '79, WHBF completely preempted "Incredible Hulk" and ran HH in its place at 7 Fridays as an alternate lead-in to Dukes and Dallas. (BTW, the early broadcast history of "Incredible Hulk" is preemption-laden in much of the Land of Lincoln--WCIA Champaign and its sister station, the previously-mentioned WMBD Peoria did not start airing the show until the fall of '78). By 1981, WHBF cleared IH for the rest of its run, and HH was moved to the NBC affiliate in Davenport, the then-WOC-6 (now KWQC) for broadcast on Sundays). Later in the '80s until at least '91, WQAD-8 (ABC) in Moline picked up HH. I also don't remember if "The Hee Haw Show" or Silver aired in the QC's, even though I grew up in a part of the Peoria market that was also within Class A/B reception range of all Quad City stations (far northwestern Peoria County, Illinois) and could pick up both markets at my parents' home.
Many responses have been posted by a contributor to the Google message boards complaining about Hee Haw's broadcast history during the '70s in Iowa. According to these messages, all of the Hawkeye State's NBC affiliates except WOC-6 in Davenport (WHO-13 Des Moines, KWWL-7 Waterloo/Cedar Rapids, KTIV-4 Sioux City, and the ill-fated KVFD-21 Fort Dodge, the latter going dark in 1977 after a tornado hit the city and the channel later used by Iowa Public Television) aired HH at 6:30 PM Friday evenings between 1971-79, bumping Sanford and Son throughout its ENTIRE run. Other shows like Sanford Arms, Waverly Wonders, and the early episodes of Diff'rent Strokes were bumped by HH in Iowa. Usually, Sanford would be tape-delayed to another time slot during the week, but the contributor mentioned in some of his messages that WHO-13's recording devices occasionally malfunctioned, leaving central Iowa without an episode of "Sanford and Son" some weeks. The practice appeared to have ended by fall '79--interestingly at the same time far eastern Iowa (and northwestern/west-central Illinois) didn't get to see "Incredible Hulk" because of WHBF's broadcast of Hee Haw in its slot.