I don't think Disney is going to try another western anytime soon. In the past 20 years, they've done all of two, Home on the Range and The Lone Ranger, and both were notorious flops.
Now, one of their subsidiary studios DOES have a good chance to pull something like that off- Marvel. While most famous for superheroes, they do have a fairly sizable stable of western characters. And since DC whiffed it on Jonah Hex, the only really famous example from the "Distinguished Competition", Marvel has a clear shot at a decent adaptation of a comic western property.
One can argue that the Marvel Western characters are too obscure, but remember, Marvel made hits out of Guardians of the Galaxy and Ant-Man. And, of course, there's always the Netflix route.