I broke my leg in a foreign country about seven years ago... I ended up getting some attention from my congressman, and made quite a bit of noise with the American consulate. Even with that I ended up with some complicated promissory note to a Czech doctor's investment trust. It just continued to get stranger as things went on.
Quite candidly, I'd tell you that international systems of immigration/medical payment sometimes do well to run with the mundane, much less with an American in a medical emergency and it can be a challenge satisfying all the things that lead to a smooth outcome. I know for a fact, looking back, that two separate parties took advantage of the language barrier and the "home turf" flexibility in interpreting the "law."
I had purchased travel medical insurance that included evacuation extras (anyone who travels abroad should look into this kind of insurance, it is cheap and ended up helping a lot, after a couple of reams of paperwork).
I'd say the consulate, call State in DC, and if there is no outcome you can live with, call your Congressional delegation. I've personally seen situations where a single call from an intern
can get things moving, especially around budget time.