A follow-up point: it sounds like you're also wondering whether it's possible to simulate quantum mechnics exactly with a deterministic non-local hidden variable model?
From what I understand, historically nothing ever came of these different interpretations of QM. I subscribe to the Feynman motto of "shut up and calculate", with the modern modification of ".. or simulate".
Arguably, this is exactly what the Bohmian "Pilot-wave" interpretation of quantum mechanics is - see e.g. https://plato.stanford.edu/entries/qm-bohm/