Married to an abusive lpr, what are my options? What solid evidence do I need to prove abuse and how long will this process take?

You may be able to self-petition for lawful permanent residence. You will need evidence that you entered the marriage in good faith. You will also need evidence that you were subjected to battery or extreme cruelty. This can include affidavits, police reports, protective orders, medical records, photographs, etc. The process will take approximately two years due to visa availability. You can read more at http://myattorneyusa.com/victims-of-violence-immigration.