That Metropolis=Chicago doesn't make sense to me because there's no way you asked how
Superman is supposed to go to and from Smallville to Metropolis so quickly.
I believe (and most people do) Gotham is in New Jersey. The DCAU Gotham is probably in New York. (And some even believe Metropolis is in Delaware). If DC put out a map of the DC United States tomorrow I completely believe they would put Gotham in Jersey. And it isn't even in a real life state county. It's just called "Gotham County" (No Man's Land)
DC universe is literally two times bigger than our Earth, it resets every few years, has differing continuities, cities just pop up, cities never being mentioned in the past because they didn't exist yet, retcons, editorial mandates, and writers contradicting each other. That's not even mentioning how many differing opinions creators have about the DC universe. Trying to argue about this is completely pointless.
Besides
Batman: Shadow of the Bat Annual #1
View attachment 2899748
There's also "The Atlas of the DC Universe" people use as a resource.
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