I'm not a physicist, but I've always wondered about Caroline Thompson's work, like:

"Chaotic Ball" model, local realism and the Bell test loopholes

http://arxiv.org/abs/quant-ph/0210150

You can have a local hidden variable theory if you abandon the freedom to choose which measurement to perform. [1]

[1] http://en.wikipedia.org/wiki/Superdeterminism