I am trying to raise the Google placement of several articles to offset a terrible posting that has been...?

[Wonderer]

I am trying to raise the Google placement of several articles to offset a terrible posting that has been written about our non-profit. Given my very basic understanding of SEO, it would seem that posting links from "good" pages about our non-profit on major web sites (NBC, CNN, etc.) within the comments sections or even on sites like this one would raise the visibility of the good pages. Is that correct, or too simplistic? Does Google screen out such links when it scans sites? Also, is it better just to post a link, or do it as an html link, and how does mentioning the key word (name of non-profit) affect it?
PS Just to be clear, we have tons of good material about us; I am just trying to push it up to displace the blog that contains the attack on us. I hope that's clear.