Some might argue that they are too smart to care and old enough to know better than to be interested in the controversy. Washington Blue Skins marching to a different drummer might foe something non-traditional-not sure what exactly.
Accuracy in naming is sometimes a virtue. The D.C. Doofus-Demons, Econo-Turkeys or Deficit Spenders could relieve the team of victimizing those with a hint of red skin further. Onomatopoeiac names such as the Washington Grunt might be good alternatively.