Well, I can't tell you about the schools, but I have lived in both areas. Do you like cows, long roads, beautiful fall trees and lots of snow? Then East Lansing may be the place for you. Not close to any metro area (well, in Michigan, there is only Detroit).
Washington DC is a great, clean metro city with a slow-Southern feel. Lots of activites. Warmer in the summer and winter.
Up to you. Feeling more urban or country?
BARBIEis coming for your towel, too.