I have a family that is rich too, while I am on Disability and live below the poverty line. I got mad at my family for refusing to help me out financially too, and that didn't help matters any. Finally I refriended them on facebook and basically carried on as if nothing had happened. My sister finally relented a bit, buying me phone cards for my special phone that gets 350 free minutes per month. (It is supplied by our government to folks who, like me, live below the poverty line. It is called Safe-Link). If you need a phone and cannot afford one, look that up on Google. You will have to apply online.
As time has gone on, my relationship with my family has improved. My parents, both of whom knew about my abuse, one of whom didn't even stop his father from doing it to me, did help me. Really, mostly, it was my mother who helped me, my father just didn't interfere with her doing so anyway. I was on OK terms with my father and best terms with my mother when they died. My sister still sends me one of those phone cards every month.
Thankfully I get my Disability deposits each month, so I don't have to beg my family for money anymore. However, I am still quite poor. I have learned how to live on a shoe string budget. And thankfully there are a lot of benefits like food stamps, Medicaid and so on. Good luck to you, and may God bless you upon whatever road you choose to take.