Could I be a Self-Petitioner for a Green Card Under VAWA because of my harsh situation?

My husband was accused for child molestation and sentenced for 20 years of Jail time 5years ago.
Since he is innocent, we tried to appeal to a higher court with expert witness who prove my husband's innocene. However, the case was dismissed in last month. Recently, my application for permanent residency was denied because of his criminal sentence. Immigration said my husband cannot be a petitioner for my family based permanent resident application.

My Work Authorization Card is expired in this month and I could no longer continue to work.
We have 2 children who have U.S. citizenship. I have been in US for 15 years and never violated any law.
I have been supporting 2 children for 5 years without any support from my husband. However, if I could not obtain permanent residency, I do not know what to do.

Even my husband is not violent against me, my situation is very abusive. My husband keeps saying "Everything is all right" but, I cannot obtain my permanent residency and what should I do in real.

Could I be a Self-Petitioner for a Green Card Under VAWA because of my harsh situation?