This is an important discussion and yours is a very good contribution, although I don’t agree with your print vs online/paid vs free assessment — although people do need to chip in more for good writing. Lots of great publications exist either predominantly online or are online-only for good reasons (lower overheads, better reach). Many also fact-check and edit before publication.
I’d also argue that all media is biased by the way it frames what is news/newsworthy, what are the issues, what is up for debate, what sides of that debate get representation, and so on. And so, more radical publications can play (at least theoretically) an important role by expanding and redefining mainstream frameworks.