Dickinson is a less selective option with a very strong international program. I know a recent grad who managed 3 term-long study aways - one in DC, one in Buenos Aires and one in Madrid. Graduated deeply bilingual, worked for 2 years at a top DC law firm as an associate and is now at UPenn Law.
Semesters in DC are now nearly ten-a-penny. IRL the school that is the single best that I know of for in-term internships is actually GWU- if you hustle, you can have internships all the way through and graduate into actual jobs. GWU is not GU: it is not beautiful, doesn’t have the campus feel, and doesn’t have the éclat. But it matches it for speakers and irl beats it for in-term internships- mostly b/c of course scheduling, and a little bit for distance.
Btw, don’t be discouraged if EA at GU doesn’t work out: they are very upfront about how they use EA, and that there is no admissions bump at all.