>>43363877King Lud's territory runs an ambiguous distance north along the Mississippi river, but it's not anything hard or fast to hold yourself to. You can make up your own empire, your own vaults, your own post-apocalyptic sights to see in whatever city you like.
That's the beauty of it: if you don't have any clear answers about Fallout: you can make something in the right tone, and it'll slide right in.
Like: there were 122 public vaults constructed before the first bomb dropped. Were there any in Indiana? Probably! Hell, put one in the french lick springs resort. Maybe stick another under the west baden springs hotel. But here's the thing: there were also a good number of secret vaults, vaults owned by the government and the elite, specifically to protect themselves.
Now, Vault-Tech were pretty goddamn unethical. Of the vaults we know about, only seventeen were "control" vaults. Designed to seal for ten years, then open on schedule, and permit humanity to rebuild. One control vault voluntarily extended it's operations, until they had a radiation leak and had to start Every other one had some twisted and stupid experiment going on inside it. Vault 13 wasn't supposed to open for 200 years, but a defective water chip forced the overseer's hand after just 80. Vault 101 was supposed to stay closed "forever" just to see how long until it truly failed as a closed system.
There's a few canon vaults that are in an unknown location: Vault 20 had double the population density (2000 people in a Vault designed for 1000, now put that in a rural area like Danville, and watch the discomfort of life without elbow room), other vaults mentioned in the first Fallout game manual include one with no entertainment, and another with only entertainment provided by recordings of a mediocre comedian. They predicted the second Vault would fail first.