my suggestion would be to head towards optics, I believe that contacting the other continent would give us some good options for trading technology, hopefully allowing us to grab a few techs. In the meantime I'd hope we'd be able to draw feudalism out of the Romans, and could then use that tech to head towards banking after optics, markets, banks and mercantilism will all help to reduce our deficit. I'm not a fan of pushing for democracy because it doesn't have many intermediate techs that will be useful for us, and it is a long road to reach democracy.