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.