I won't pretend like this is the only answer-- because it isn't. Some people mentioned god, some tv, some music... and while it may have worked for them, that doesn't have anything to do with you. So... sorry, some of tose pieces of advice may not work in your case.
However, they all have something in common. Each person managed to find something that did pull them through. They are where you are now, and they got out. That means you can, too.
I developed something similar when I was younger. I was bullied in school, and would deliberately get in trouble so I could spend detention in the library. I didn't like being around people, but I didn't like being alone, either. Since I grew up around books, I could dive into anything I picked up. It wasn't about the reading or the words, it was about the way I could forget my body, my pains, and see another place that... despite me being by myself, helped me brave being alone. Not entirely unlike having a flashlight or a lantern in the dark.
That's not to say it solved my problems. It didn't. But it gave me a chance to catch my breath, to rest, and to clear my head long enough to reflect on th world outside my little bubble. I began to understand that there were some things not in my control, like my brain chemicals, other people's opinions, the weather... but there were also things I could, like my actions, my choices, and what I did with what I learned.
If you are alone and are afraid of 'idle hands', find something to let them not be idle. If you're the kind of person that works with your hands, try leearning hot to fold an origami crane. Doodle on some paper. (I started doodling on my arms with marker, and it let loose a lot of... impulses in a productive way, if you know what I mean.) Video games are great, too. If you're the kind of person that likes to listen to things, find some music that you consistently like, or can take your mind off things. I like classic rock, but I also try out things like Welcome to Night Vale, because it's hands-free reading. TV works the same, too. If you are the reading type, but want something interesting, I suggest comics. They're designed to be read as clearly as possible without words, and there's a story fopr everyone. American comics can be harder to come by (webcomics are ok, but not always consistent), but if you're willing to go cross culture, there are hundreds of fan-translated japanese manga comics. If you can get involved in that, there's also a great chance you'll meet people with similar interests, or maybe similar problems.
And lastly... even though you may feel alone, may want to be alone, and fear being alone... you are not alone. You are human, made of human, and do human things in a human world. Everyone else is made of the same things. We're branches of the same tree. And though it seems like an insurmountable time, this will one day pass. I think your family does want to help you, and it's true, they can't always be there to help. It may be your time to start standing on your own, to try to find something that makes you happy-- not to replace your family's support forever, but to help you stand when they can't be by your side. That, in its many forms, is normal.
Anyways, that was a long post, but best of luck!
