You say that every particle must have a 'local copy' of the states of all the particles in the Universe. First of all, I don't see why this is taken to mean that superdeterminism must be wrong. Certainly, this is a much more reasonable assumption than the multiverse interpretation that every particle is associated with not one, but a huge number of different copies of the Universe (possibly several after each single measurement).
Second, if the digital physics hypothesis is true, and the entire Universe is being run on a big computer in some alien's backyard shed, this is actually exactly the kind of thing that you would expect. In a sequential computer simulation, when calculating the trajectory of any particle we have access to the states of all the other particles (i.e. a sequential digital universe must be nonlocal).
Going back to toy universes, it is actually quite impossible to create toy Universes that are not superdeterministic, unless randomness is injected from the outside. However, if the Universe itself is superdeterministic, then this is impossible as well!
A lot of the misunderstanding concerning superdeterminism stems from the fact that people do not pause to consider its full implications. If the Universe were superdeterministic, then the action of human beings would be deterministic, and of course counterfactual definiteness wouldn't be true. This is natural and what you'd expect, and if this were not the case it would be strange.
Of course, these are all philosophical arguments, and we should not spend too much time dwelling on them. This goes for arguments in support of superdeterminism as well as those against it.
What frightens me is that there is a lot of talent being steered away from hidden variable theory research, just because of these empty philosophical arguments. However, the good news is that a lot of work is being done. Take a look at:
http://www.sciencedirect.com/science...7015730500147X (available on arXiv:
http://arxiv.org/abs/quant-ph/0701071 - 500 references!) That's from 2005, there has been more work done since then.
see what I did there?