I think you could try and get in contact with some of the big teaching hospitals in the U.S. (Johns Hopkins etc). There have been cases where these hospitals have treated patients (domestic and foreign) for free or minimal costs in very rare circumstances. So, you could try that approach as well.

I would suggest H-1B but the filing starts today (4/1). Most likely, the quota is going to be filled within days. I do not think there is any chance for that this year.

Others above have provided good suggestions, but I would encourage you to keep fighting man. Something will work out. In the meantime, keep looking for alternative in other countries as well.