Blue Origin's timelines have been even more inspirational than Musk's. Like.. Blue Origin hasn't even reached orbit yet.

But to Blue Origin's credit, they're less shy about working with others. They're developing the engine for ULA's new rocket (presumably their own competition!), and I doubt they'd have major qualms about launching Blue Moon on a ULA or even SpaceX rocket, once congress is finally able to admit that SLS isn't happening.