Who throws the dice for you?

[Heywood]

It is a perfectly valid question to ask from where the randomness we observe in quantum mechanics comes.

And if we don't have the answer, then... God of the gaps?

No God of the gaps for reasons already explained in this thread.

You have 3 options.

1. A supernatural dice roller.
2. Bell's theorem is somehow wrong.
3. Randomness is not a function of ignorance but a property of the universe.

I'd dismiss 2 before I dismiss 1. I don't like 3 very much because it completely contradicts my experience.