I was poking around over at Relief Journal this morning and found this post about getting cover letters they like. They quote at length from a cover letter that is, well, my cover letter. They rejected the story, but they really liked that cover letter!
So I sent them another story, which is being looked at now. I have to admit that the cover letter to my second story was not as good. But I think the story is significantly better than the first one I sent them.