If you want to look farther afield than the Midwest Exchange (or your own in-state public schools), then check out the Kiplinger’s “best value” listings.
https://www.kiplinger.com/tool/college/T014-S001-kiplinger-s-best-values-in-private-colleges/index.php
https://www.kiplinger.com/tool/college/T014-S001-kiplinger-s-best-values-in-private-colleges/index.php?table=lib_arts
To expose schools with the most/biggest competitive merit scholarships, click-sort on the two columns that show “non-need-based aid” numbers.
Kiplinger does not list merit award numbers for public universities.
You can find more information about automatic/competitive merit scholarships here:
http://competitivefulltuition.yolasite.com/
http://automaticfulltuition.yolasite.com/
Information on these pages isn’t always perfectly up-to-date, so be sure to check individual college websites for any that interest you.
If you’re looking for schools in the NYC area, you might also want to check out Hofstra (in addition to Fordham).
Villanova (Philadelphia suburbs) might be worth a look, too.