Composite Ranking of Research Universities for Undergraduate Study

They meet your stated criteria:

And have a 30% plus ED acceptance rates. Except NU and Vandy seemed to have dropped below 30%. Maybe look at Emory instead of those two.

So short list: Barnard, Emory, JHU and WashU.
Note: Barnard is an LAC, but students have full access to Columbia University.

Again, not my recommended general approach to picking a college - but in line with your approach.

Best of luck.