What is the difference between a story for the media and one for a grant proposal?
There may not be much difference. It really depends on what you're trying to convey. The press will love stories told in any of these three plots, but especially the Challenge and Creativity plots in more newsy reporting. You'll find all three plots, including the Connection plot, in more feature-oriented reporting, like you see in magazines or the Living or People sections of newspapers.
And you'll use these same kinds of stories in your fundraising materials. You'll probably focus more on the stories that demonstrate the need and how your work, your solutions, are addressing those needs.