I agree, it is unlikely that neutrinos can travel faster than the speed of light but I don't think we can rule out the possibility that the neutrinos measured weren't the ones generated. If you assume that there can be other forces (for lack of better word) faster than the speed of light, those forces would rarely interact with the physical universe governed by the speed of light, but when they do they could conceivably generate an interference pattern that could perturb other like particles across vast distances. So theoretically if the neutrinos generated at the source interacted with some faster than light force, the result could be perturbation of neutrinos close to the detectors, making it appear that the neutrinos actually arrived earlier than expected.
I'm looking into this theory as a means of explaining black holes.