“I really like colleges that give off the quintessential college vibe with gothic architecture and pretty campuses, I want the school to have a really good sense of community and a social scene.”
Given the above, I would say Brown and Dartmouth are probably the best fit for you. I actually go to Dartmouth, so I can speak from that perspective. We definitely have a beautiful campus and the strongest sense of community (at least judging my own experience and that of friends and family) in the ivy league, largely due to our undergraduate focus and rich traditions.
Not to mention our social scene is pretty cool too. And contrary to the Animal House-perpetuated rumour, our social scene is not controlled by the frats.
Coaches to Boston run every day, so you can always access the city when you need to, but it is a campus. This is the quintessential college vibe.
Also, I noticed other commenters misrepresenting my college. As an asian (Indian) with a diverse friend group, I assure you the college is neither homogenous nor polarized. We are not even 50% white (https://www.collegefactual.com/colleges/dartmouth-college/student-life/diversity/).
Every social space and activity is pretty diverse in terms of students involved. Even the greek societies, because they mostly allow everyone into events (unlike most schools), are very inclusive and diverse. This affects the culture, meaning greek life at Dartmouth is more diverse than anywhere else really. There are some where people just play board games and hold milk and cookie nights, some really interested in social justice, and some which are more traditional in terms of party culture.
Going back to the undergrad focus, it is important to note that among your ivy league choices, Cornell, Columbia and Penn have significantly larger populations of postgrad students relative to undergrads. This means you’ll have TAs teaching courses and larger classes far more frequently, especially in your first couple of years.
In Dartmouth and Brown, it is the opposite. For Dartmouth, only first year calculus has a section or two taught by TAs. The rest are all taught by professors. And even from the first year onwards most of your courses will be small classes with great personal engagement and conversation with your professors and your peers.
Don’t get me wrong, you can still get this at the other ivies but to a lesser degree. For Dartmouth, at least, you will have this kind of engagement for almost all your courses. Furthermore, Dartmouth also has a more collaborative, relaxed culture (among students) than the other ivies, some of which, like a Columbia offer a more cutthroat competitive environment.
Hope I helped, and feel free to message me if you have any questions about Dartmouth. I strongly recommend taking another look.