This was shared with me by a listener, who says that the Bleacher Report, does in fact, at times use Redskins. But often, as with this post , they don't. You'll note they reference the Philadelphia Eagles and Dallas Cowboys, but the team from D.C. is simply "Washington." There is also a reference to "District of Columbia."
And just in case you missed the point, they also make note of the fact that the Redskins are still the Redskins. Of course, they don't say Redskins.
Photo credit: By markcbrennan of flickr (http://www.flickr.com/photos/funkadelic/313283322/) [CC-BY-SA-2.0 (http://creativecommons.org/licenses/by-sa/2.0)], via Wikimedia Commons