Try exercising to the point of exhaustion and see how it affects your sleep.
My chronic insomnia is "primary" meaning it persists in the absence of other factors. I'm not depressed. I get enough sun exposure. I take my supplements. I have a comfy mattress. I practice good sleep hygiene. I use blue light filters and don't use my phone/computer before bed. I exercise every day. I eat well and not before bed. I don't have breathing issues. Nothing helps. It's just the hand I was dealt genetically.
Furthermore, exercising to the point of exhaustion is reckless and I've injured myself over the years doing exactly that because I don't get enough sleep for my body to recover properly.
I can run and stay aerobically fit and I played high level soccer for many years when I was younger without too much issue, but activities like weightlifting are a struggle for me. Benchlifting when you're sleep deprived is pointless so I have to fill in on my off days.
Meditation is more for calming the subconcious, dropping all the background threads that are running.
Maybe that's a "hack" that can fix your problem. Even if it doesn't, meditating a few hours at night gives your body more rest than rolling around and not getting rest nor sleep.
Maybe 4h of meditation at night is like 3h of real sleep for you, who knows.
Furthermore, you get a lot of insights and a better connection to your body.
I can recommend the app headspace.
Any "true" sleeping pill has to be tapered, so at best you can only take them for a few months at a time before they become ineffective due to tolerance. In my experience, they're also inconsistent and I would still experience a sleepness night about once a week. These are in addition to the usual side effects (oversleeping, daytime grogginess, memory issues, mood issues, etc.) that make long-term use impractical.
Sleeping pills gave me the feeling of being notionally asleep but actually conscious and awake underneath. Lot of REM sleep but hardly any of the non REM variety. That's why I gave them up very quickly. They only made a bad situation worse for me.
I'm not going to suggest anything. I feel bad for you, and just wanted to say so. I'm fairly convinced I would be either homeless or dead if I couldn't get enough sleep, and the fact that you at least aren't the latter is inspiring to me.
Your life seems impossibly difficult to me, and so I wish you all the best success in regularly finding a tranquil oasis to bide your time in along your way.
I'm sorry you got dealt that hand, it sounds like you're dealing with it far better than the vast majority of people would - including me.