Steve is right. I'll bet that Channel 4 was WWL New Orleans.
There was summer E-skip, and the mid-winter batch as well. CBS is (was on analog) on Channel 2 in Chicago, and it seemed like every other year, the familiar venetian blind effect would roll in during the Cotton Bowl on New Year's Day. With 3, 4 and occasionally 6 active on good days, I had plenty to pick from.
My E-skip range was from about 400 miles (very short for Es) to over 1,200 miles, Idaho-Montana-Colorado-New Mexico (plus Saskatchewan, where a low-power CBC relay came in clear as a bell one night) the most distant to the west, all the Gulf Coast states to the south, and Quebec, Ontario and New York (audio of WCBS over WBBM-2 here, managed by holding the rabbit ears just so) to the east. Southeast was relatively empty in comparison.
I've mentioned it before, but one early evening in 1977 or 1978 conditions were so good and I was so fast with the clicker I got the WCBS audio ID, then hit 3 for another station (maybe KYUS Miles City), then 4 for KOA's ID in color with the infamous N logo of NBC. All in about five seconds. So someone on either end might have experienced double-hop.
With only rabbit ears for most of the way, tropo was less productive, but with the right conditions WTMJ-4 was a regular, other Milwaukees semi-regular, and VHF and UHFs from Michigan to Iowa spotted often. It seemed like the three 13s I was between (Rockford, Grand Rapids and Indianapolis) had a near-nightly shootout for supremacy. The same was probably happening on 6 between Davenport, Milwaukee and Indianapolis, but that was harder to tune in with WMAQ-5 adjacent, and I didn't have an FM radio that could tune to 87.75 as far as I knew. Getting WOOD-8 Grand Rapids was the most difficult, since it had to fight through local 7 and 9 from the same direction. UHF distances ranged from Fort Wayne to Dubuque. By the time I put up a tower, I was working too many nights to take full advantage of it.