I did talk with admissions this morning - they apparently sent the non-resident blip to literally every single person, causing a lot of confusion.
With respect to your questions about Humphrey:
I am of the personal opinion that people tend to take rank into consideration entirely too much. While I think there is a case to made when comparing a top-tier policy school to a virtual unknown, I do not believe the distinction between Ford and Humphrey to be that severe. I believe it's far more important what you do in graduate school than where you do it in more situations than not.
I am also unsure what you intend to focus on and what realm of employment you're looking into, but I would be highly averse to taking on nearly $100,000 in debt for what would most likely be a negligible "boost" from Ford over Humphrey. While I am sure Ford has a better name recognition overall, I do not personally believe that name recognition is worth that amount of money, particularly if you're entering public service careers (ie: not going to be a millionaire).
I do also know from speaking with some of my networks from my undergrad (senators, professors, foreign service officers) that UMN has been very interested in recent years in growing and improving its international appeal both in terms of program outcomes and student recruiting, particularly while Eric Schwartz was heading the school. I think there is a distinct chance that they will be putting a lot of effort and resources into improving that, which could definitely help with your concerns about returning to India eventually.
In short, I think that Humphrey is a comparable choice in several respects while also being a literal fraction of the cost. $100k is A LOT of money to have hanging over your head as you begin a career.