You might not want to, but I do, because there is. I absolutely can't stand the term "the media has painted," as though the media is this single conglomerate where somebody (clearly not old white men, though?) pulls strings and sets the narrative. Remember, Fox News and Breitbart are just as much "the media" as anyone else.
The extremely liberal National Review concluded just before the election: "Republicans have failed for the past half century to attract non-white voters . . . Republicans have carried the white vote in every general election since 1968." However, it also notes that Mitt Romney won just 17% of the non-white vote.[1]
So I think you have it backwards. The media isn't painting Republicans as homogeneous; Republicans are homogenous, and frankly, aren't even all that worried about pointing it out. In fact, given the current trend towards ethno-nationalism, I think you might say some of them are proud of it.
[1]http://www.nationalreview.com/article/441595/voter-demograph...