Doubtful, unless there is some sort of agreement with the host country. But that wouldn't necessarily stop the troll because if that company ever wanted to expand into the US, which is still a big market, then they'll have to deal with the troll sooner or later.
I would abandon the US market until I had the funding to fight trolls or they get responsible legislation going. Once foreign corp. X have got the funding I don't know what would stop a mysterious new US corp. Z from buying access to the X userbase and APIs with the express purpose of doing the exact same thing as X but domestically. And then, once the patent business has been cleared up, merge them. It might have to be as convoluted as X -> unsullied foreign corp. Y -> Z to launder the relationship but I bet it's possible.