Ah, yeah, an East Coast crawl. You'll be able to take major highways between each of these, so the only time you'll get a real taste of American 'life' is when and where you stop. Phalanx is relatively accurate, though I would call Center Co. "bucolic", that will probably be your most rural school with like, open farmland around it. The rest will probably be mostly city living, in the order NYC/Cam/Princeton. Traveling to Cali for the one school? That part is gonna be quite a long drive. You might wanna just fly, unless, I mean, how long exactly you wanna be on the road?
If you drive all the way across the country you'll get a lot of stops and more exposure to the middle of the country and country living. Road stops, nowhere towns, empty town, the weird road people. Heh.