I think you should consider what some of your fit preferences are, because the schools on your list are quite different:
Brown: Laid back socially and somewhat academically, open curriculum, urban (though not a huge city), coastal, happy.
Princeton: More intense than Brown academically, senior thesis requirement, eating clubs dominate the social scene (sort of Princeton’s “Greek” scene), suburban/small city feel; very rich, old, and steeped in tradition.
Swarthmore: A LAC (smaller classes but fewer majors than U’s), as academically intense as it gets… hard and a ton of work. Quaker Consortium. Suburban. Very liberal overall, probably even moreso than Brown.
Georgetown: Famous for IR/gov’t, posh DC neighborhood, proud basketball tradition, gov’t internships galore, warmer than the rest, urban/big city, Catholic though not typically in your face.
Williams: Another LAC, verrrrrrrrrrrrrrry rural and a tad isolated, tutorials available, less socially awkward than Swat, fall colors, lots of school spirit for a LAC.
Michigan: Quintessential midwestern sports, research and academic powerhouse. Easily the largest school on your list. A mix of the Midwest and Northeast culturally. Mid-sized city. Awesome college town.
What kind of academic and social vibes are you looking for, what kind of setting/environment do you prefer, what might you be looking to major in, and have you run the NPC to see if these are affordable?
Also, admission to these is highly competitive, so make sure you also choose a few matches (for you, that’ll be schools with 20-45% admit rates where your stats are competitive) and safeties (>45% admit rate and your stats are in the top quartile). Make sure that each school you apply to offers what you’re looking for and is affordable – run NPC to make reasonably sure of that.
It is possible you could be happy at any of the schools you listed – I just wanted to bring some of their relative differences to light as a reminder of how different they are from one another.