I'm talking about things like thermodynamic carrying capacity, total mass of the test, prevailing wind patterns with estimates of where the aerosol might be now?

A simple bayesian analysis for the current facts: what's more likely to have caused the warming - a test that generated injected a small amount of mass into the air, or the massive increase of CO2 over the last several decades?

Based on these two comments, it seems like you're putting too much emphasis on correlation, and not enough analysis in to some actual thermodynamics.

If you do have access to deeper analysis, please post them. I would be interested in learning something new.