Great. Make your own setting then.I mean, it should also be noted that Tolkein was great friends with C.S. Lewis, who definitely did have some racial issues. The Chronicles of Narnia were littered with blonde-haired blue-eyed Narnians and "high" cultures who worshipped Aslan (the true god), while turban-wearing, desert-dwelling brown folks with literally curly-toed shoes worshipped Tash (the false god).
These men were products of their time. Tolkein may be better than Lewis, but his dwarves are "tropes" of Jewish people, just as his hobbits are, in his mind, "tropes" of good-hearted English people. And he probably did mean for Rohan and Gondor to mirror western Europeans, while the Harad and the southron and eastern folks were dark-skinned and, weird coincidence, evil.
So as I see it, there's two possibilities in adapting his work:
1) Either you acknowledge the man's shortcomings as a man of his time and cast it as he probably envisioned it, leading to a very white cast of good guys fighting a very dark-skinned cast (in re: human forces, at least) of evil, or
2) you say "race shouldn't really matter to who these characters are because good and evil is a character's choice, and not delineated by how you look or where you come from," and adapt it from there, kindly whitewashing the very deliberate choices of a man who lived in the early to mid 20th century.
Like, these are the same issues in comics. The first superheroes were white men because white men wrote them in a time when people of color and women were considered quite literally inferior and second-class citizens. Even if those comic writers didn't believe it themselves, that was the time, and their art reflected it. So the question when adapting it always should be: is the race of this character important to the central narrative of this story? If not, cast whoever you want that you think will act the part as you want.
Art is a reflection of the time it was created in. But art isn't static and set in stone. It evolves and changes with the time.