If I may make a suggestion because my own life path is trending here and I've had some experience with it. Instead of being homeless maybe join an intentional community? There's a somewhat time consuming process to join the larger legit ones, but once you start that process it's worth it I think.
The two I'm going to recommend are well established and actively accept visitors, I've visited one of them before. You have to visit for 3 weeks during a visitor period and then if you're chill, don't get into fights with people, and are able to show you can complete the weekly work quota they'll most likely accept you.
After your visitor period you have to spend some time away from the community before returning as a provisional member, they do this to ensure that new provisional members genuinely want to be there, it reasons that if people leave and don't come back then the honeymoon period wore off. This is definitely a challenge when homeless, but you should mention that to them because they'll have advice and some of the people living in communities like this were formerly homeless themselves.
Also, at Twin Oaks specifically I was told as a piece of advice not to get into a relationship with anyone until after becoming a full member. This is because some older members who have been trying to find a partner for many years sometimes get jealous and vote against accepting new people out of jealousy even though they shouldn't and it only takes a few no votes to prevent someone from joining. (Not everything is perfect in community, there are still conflicts but people do strive to be cooperative in my experience.)
Once you're accepted as a member it's very hard for people to kick you out though, it takes a supermajority vote of the whole community. The only time I've heard of people getting booted are if they consistently don't work enough for many many months or commit some crime of physical violence against other members.
Everyone has their own room, a monthly stipend, and community provided healthcare.https://www.twinoaks.org/https://www.ic.org/directory/east-wind-community/Post too long. Click here to view the full text.