(disclaimer: not a physicist, never looked into the maths, but I'm intrigued by QF)
There are deterministic interpretations that are very much on the table.
The Everett's Many Worlds[1] is fully deterministic (and depending on your view, the simplest one too): the universe is a quantum wave function evolving according to the Shrödinger's equation. That's it.
A lot (if not all) of the hidden variables theories are also deterministic. The apparent non-determinism stems from the aforementioned variables that we don't/can't see.
I keep hearing more and more about the Pilot wave theory[2] recently. And that's a hidden-variables deterministic interpretation.
There are deterministic interpretations that are very much on the table.
The Everett's Many Worlds[1] is fully deterministic (and depending on your view, the simplest one too): the universe is a quantum wave function evolving according to the Shrödinger's equation. That's it.
A lot (if not all) of the hidden variables theories are also deterministic. The apparent non-determinism stems from the aforementioned variables that we don't/can't see.
I keep hearing more and more about the Pilot wave theory[2] recently. And that's a hidden-variables deterministic interpretation.
[1]: https://en.wikipedia.org/wiki/Many-worlds_interpretation
[2]: https://en.wikipedia.org/wiki/Pilot_wave_theory