This seems to be something people don’t always give second thought to. When people talk about the homeless, the first things thought about are images of people on busy city streets in rusty clothes waiting around near allies. In there, the answer is quite static, because it can be I guess. But if that’s the case, change the setting and that changes too. In the places where I’ve lived, people often needed that mapped out. Where are they known in your rural locales?
There are homeless shelters here too, but it’s not as easy as just making it clear you’re homeless. For us, there are so many hoops to jump through that many will feign mental illness to get a “free” stay at the psych ward because it’s actually easier.