For me, EDI = reach school but not impossible with the better ED acceptance rates or you just love that university/dream school regardless of your chances.
EDII = got rejected by your EDI school - time to get serious about getting into a school on the upper end of your target list that isn’t a reach.
Forbes has a list of schools with EDII. Dig through their stats to see the differences in acceptance rates (keep in mind that some of them don’t break it down to EDI, EDII and RD)