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Who should have the final say in issues on a global scale such as this?

On a "global scale such as this?" That's easy. The ones doing the experiment.

Because the only issue 'on a global scale' is the science that will be learned. The 'risk' of a non-evaporating black hole, or some other form of strange matter, is zero - to a lot of decimal places. The fact the evaporation of black holes is a theory is at least as solid as the theory that something bad will come of it.

If you choose to establish some global governance authority - whether it's the top ten banks or you sitting in your den - then that authority would be better off worrying about Wiccan circles chanting in the woods asking for some weird spiritual/magical effects. Those would also require an inversion of known science, and are more likely to occur than globally bad effects from the LHC.