Try Senator Orrin Hatch.
Unless you want to argue he isn't "nationally known"?
You've got to be kidding. I said "CONSERVATIVE".
When you look up "RINO" in the dictionary, there's a picture of Orrin Hatch next to it.
Do you want to know why there are no nationally known conservative lds politicians? See my tagline. Mormonism as a philosophy sees NO NEED for limited government, since they believe that humans are naturally good and unfallen. There is no sin nature in Mormonism. Limited government, separation of powers and checks and balances were established by the Founding Fathers because they had a Biblical world view.