I don't know if it helps, but these are the papers the media cooling stories came from. They are peer reviewed and quantitative, but perhaps not exactly what you need (that is to say, not sufficiently predictive).

Rasool and Schneider 1971 [1] https://pdfs.semanticscholar.org/4db2/1045b17ebcdd6a8c6adeb1...

Earl Barrett 1971 https://www.sciencedirect.com/science/article/abs/pii/003809...

Hamilton and Seliga 1972 https://www.igsoc.org/journal/14/72/igs_journal_vol14_issue0...

Chylek and Coakley 1974 https://science.sciencemag.org/content/183/4120/75

Bryson and Dittberner 1976 https://journals.ametsoc.org/doi/pdf/10.1175/1520-0469%28197...

Sean Twomey 1977 https://journals.ametsoc.org/doi/pdf/10.1175/1520-0469%28197...

[1] edit: Schneider later retracted findings