I've thought of an interpretation of quantum mechanics which I have so far been unable to find anywhere in the literature. Since the subject has been studied for so long, I am fairly sure that my interpretation is nothing new; however, it would be very helpful to know whether it agrees with experimental results, and if so, what its name is.
My interpretation is a local, counterfactually definite hidden variable theory; however, it remains consistent with the experimental violation of Bell's Inequality by contesting the possibility of consistent measurement. The result of the measurement is so sensitive to the measurement device setup (exact orientation of a polarizer, etc.) that we cannot realistically measure the "same" property multiple times. In this way, the well-known probability distribution associated with the wavefunction does not reflect a true internal randomness, but a chaotic sensitivity to small unknown deviations in our measuring apparatus; this averages out to give the appearance of intrinsic randomness. While this interpretation technically violates Bell's Theorem, it is not currently falsifiable because it yields the same predictions as QM with our current measurement devices.
In other words, my interpretation is identical to the Copenhagen interpretation, albeit with a different source of "randomness." Should our measurement devices become consistent enough (which they are not yet today), experiments will no longer show a Bell Theorem violation.
Are there any experimental results contradicting this interpretation? If not, does anybody know who invented it and what it is called?