I think the possible way to bargain with them is remove our cases to the states sponsored. Because we were qualificat to meet the requirements to the states sponsored. Then give a chance to fix the problem which isn't cause by us. From my view, some states are very would like to take the immigrater to increase they economy, population.
As I know, kinds of different legel systems between each states and the country, just like tax, minimum payment, divorce procee are totally different. For immigration law is made by the government, but every state could make some special policies to encourage people decide stay in their state.
We may force to this way.