Pink Cosmo, it sounds like you really really don't want to go to GW.
Without knowing much about your situation, except what's posted here--have you tried contacting BC/BU and expressing just how incredibly interested in their schools you are? It sounds like you'd be willing to go there without any money from the schools. A guaranteed full-price admit might push them along in deciding on you.
If you're interested in PI, then yes, scholarship money from a school should be a big factor.
I'm a 1L at GW, and like it a lot, but if you are kind of miserable going into the situation here because you want to be in another city and are so stressed about missing that city and going back there after graduation, it's going to make what is already an incredibly grueling year even more difficult. FWIW, I don't think you'd have trouble getting a Boston job, esp if you have ties to the area.