Let's remember that in the Eastern Time Zone, Coast to Coast airs at 1am. In the Central Time Zone, it airs at 12am. So it isn't an evil plot to start Coast to Coast at 11pm in Phoenix. There's no evidence starting the show at 11pm year round shows antipathy toward C2C. I might argue that repeating several hours of the show at 2 or 3am, as is typical of Pacific and Mountain Time Zone stations, is unusual. It's a good show, but even Rush doesn't get a second run on most of his affiliates.
I really don't think it's such a great idea to run the last hour of the previous Coast to Coast at 10pm during the winter. Often that last hour is just phone calls if a guest isn't lined up, or the second half of a guest's two hour appearance if that guest is slated for the final two hours of the show. I suppose on Monday nights, that 10pm hour would be the last hour of whoever is doing the Sunday night show.
I didn't realize KFYI records and delays by an hour Rush and Hannity in the warmer months, as well as Clyde Lewis. And it records and delays Glenn Beck all year. So maybe it should simply run Coast to Coast in order, adjusted for the daylight time shift. Record each hour of the live show and play it on the air an hour later, between March and October.