For example, some introductory resource I was reading years ago (forget which one) brought up such an attempt: imagine if a qbit wasn't a complex state vector which collapses probabilistically on measurement, but rather functioned as a tiny "coin" as follows (forgive the crude drawing):
As far as I can recall, whenever the qbit goes through a quantum gate the coin is rotated some amount, then when "measuring" the qbit you basically just look from the perspective of the basis you're measuring (say the |0>/|1> basis) and the result you see is whichever side of the coin is facing that basis (in the diagram, heads). Honestly I think I got half the details wrong on this, but it was something like that.
This was entertaining to learn about, so does anyone know of a good collection of such half-baked (or full-baked) attempts at de-probability-izing quantum mechanics? Bonus if it actually includes this coin example.