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Dear Nathan, I think that the model of Rod is very similar to the one proposed by Miller with negative probabilities in his Phys lett A 222 31-36 (1996) [butwith the real part in addition to get only real probability and not complex like in Miller’s work]. Of course Miller didn’t use hidden variables but the theory of Rod is really the cournterpart of Miller’s work in the same way as Bohm is the couterpart of usual QM. The main ingredient in the paper of Miller (like in a different paperof 2005 by Aharonov and Gruss) is to define a sum rule for going back to the usual QM probabilities. this is done by introducing a requirement acting like the postulate used by Bohm for justifying born rule. I think that the theory is self consisten if we accept this rule. However this also means that we have a statistical ensemble of systems with different final states.
with best regards