Medicare paid about quarter the charges for my bypass. That worked out to around $7500 a day in the hospital for 13 days including Cardiac ICU, surgery, surgeon, nurses, medicine, pre-operative, post, etc. So the $23,000 and $50,000 you mentioned seem rather high. Of course, hospitals have schedules they cannot go over with medicare. But I wouldn't pay their charges and let them sue where a court would pull back those numbers. Just because people charge, doesn;t mean they are entitled to whatever they want.
If I was a foreigner, I'd tell them to come to my country to get my money or settle for a low amount. They'll settle. As a final thought, you could send the bill to Trump and ask him to take care of it. He'll stick them with the whole thing.