Hi Linden - firstly want to thank you for all your comments on the boards, I've found them really useful as I try and make up my mind too. I'm in a similar situation, trying to decide between:
Maxwell, Syracuse - full-ride and stipend, 12 month course (no debt, no expenditure)
HKS - no Harvard funding, but $40k scholarship for first year ($60k debt, plus spending my $20k savings and working)
Columbia - same as above, but possibility of some second year funding
As an international I'm heavily leaning towards Harvard. In your case I think Georgetown does have a good reputation internationally by those in the know (and definitely more than GW). The difference is that everyone has heard of Harvard, and (I think) it will start to pay for itself in your future career. However if you want to work in DC then I imagine there are hugh benefits from actually being there including contacts/internships.
Let me know what you decide!