dthomas: There is a little bit of info on US residencies for Polish grads throughout this forum. Just search for Poland AND residency under the European forum.
I see that you are considering Lublin. In case you don't already know, they do require that you apply through HMI. You're also going to be paying $5,000 a year in "HMI fees" alone. I know the HMI fees go down from year to year, can't remember exactly how much.
My suggestion is that you look around this forum for topics concerning agents, HMI and Alliance. There is an overwhelming body of negative information that, IMO, should not be taken lightly considering the gravity of the decision that you will be forced to make; "Where will I study medicine at?"
Just my 2 cents worth.