Steven
"a more fundamental theory possessing nonlocal constraints that underlies our current theories."
I agree entirely, and good evidence emerges from a quantum dynamic cause presented in my essay. I also commend Robert H. McEachern's essay with some close parallels to yours. Thank you for a well written view on the constraints of Bells's theorem, consistent with mine but with a very fresh approach.
My approach more purely applies logical structures to kinetics to offer a well evidenced quantum cause (mechanism) for deterministic relativistic effects. I think this proves your view correct as it derives that systems in 'group' motion form a single inertial frame, but as in the hierarchical compound propositions of truth functional logic, within a larger frame, and including smaller local frames. Physically; as in galaxy rotation within the halo and Earth's orbit with the ionospheric shock; equivalent to the boundaries of Maxwell's fields -and down to surface electron fine structure, and single particles. AE; "Mass spatially extended" and Boscovich "Sphere of Influence". (See also Kingsley Nixey essay Fig 2.)
Do you agree with Lee Smolin's views on the limitations of abstraction and re-mapping of 'Newtonian schema' predictions? Whartons essay discusses this and again McEacherns is consistent with this from an information theory view.
In a way this redefines 'Local' as non local up to Cosmic scale. Here the anisotropic CMBR flow of the 'axis of evil' is a non local constraint, which I've found find equivalent to a smaller quasar jet of re-ionized matter from an AGN, with good evidence of it's part in galaxy recycling.
I hope you may read mine and advise if you feel the 'superdeterminism' that emerges might have any resemblance to that which you theoretically predict.
Many thanks and best of luck.
Peter