Looking for big schools with 15k+ students on the east coast while staying north of Virginia is going to be one of your bigger limiting factors.
Whenever I hear that someone us interested in poli sci and government, I think about state capitals. U. of Vermont and Virginia Commonwealth are the first two to come to mind.
UMD may be worth an application, but I am unsure if it will reach your budget, but it is within the realm of possibilities. I would also take a look at U**. of Delaware**, Binghamton, and Towson as additional possibilities.
GW is the largest of the DC schools, but I think it’s between 10-12k students. Would your D consider mid-size schools (perhaps like Providence in RI which has more than 4k undergrads)?
If you’re willing to consider a little further south, what about U. of South Carolina? It’s in the state capital, has a very well-reputed honors college, and a strong program in international business (perhaps all business…I’m unsure).