Why not use a combination of everything?
Among the top 10 Research U’s in all 4 of USNews, USNews academic survey, Business Insider, and Forbes:
HYPSM
Among the top 20 Research U’s in all 4 (listed alphabetically; 10 of them):
Brown, Cal, Caltech, Chicago, Columbia, Cornell, Dartmouth, Duke, Northwestern, Penn
Among the top 30 Research U’s in all 4 (listed alphabetically; 7 of them):
CMU, Georgetown, JHU, UMich, WashU, Vandy, UVa
This is not very different from the Ivies/equivalents and Near-Ivies tiers based off of alumni achievements that I came up with:
Ivies & equivalents (16 RU’s):
8: HYPSM, Brown
7: Chicago, Cornell, Rice
6: Columbia, Dartmouth, Duke, Northwestern
5: Caltech, Georgetown, UPenn
Near-Ivies (8 RU’s):
4: Cal, UMich, UVa, ND
3: NYU, Tufts, UCLA, Wisconsin-Madison