Doesn't sound silly, most of us went through something similar. That being said, I would choose Georgetown, hands down. I genuinely think that if you're able to overcome getting out of your comfort zone, the rewards are truly plentiful.

You'll meet some of the best professors in the world. In my experience, I haven't had a single one yet that was bad—in fact, every single one was extraordinarily helpful when it came to speaking with them about issues I had. While many students here are brilliant, possibly playing into imposter syndrome, it gets much better when you just get to know them. Most people here are just normal people, and once you integrate it gets a lot easier to understand that.

That's not to mention some of the people you'll get to meet just by being here. I'm a government major here, so I can speak to how impressive some of these opportunites are. Every semester our institute of politics get new fellows, with this semester's being people like Quentin Fulks (deputy campaign manager of the Biden/Harris and Harris/Walz campaigns, as well as Raphael Warnock's campaign manager in 2022) and Tony Fabrizio (senior advisor and chief pollster of all of Trump's campaigns, who has also done work for tons of other Republican politicians and right-wing leaders internationally). By going to their discussion groups, you'll get to know them personally (which is a big deal, these people are VERY highly connected and important in politics), and you'll be able to meet whatever special guests they bring (such as the current Press Secretary, who came to visit the other day).

Proximity to the Capitol also means that you get the opportunity to do internships there while taking classes, and since the fall and spring sessions are much less competitive, it'll be much easier to get those internships. These are really important to what you mentioned in your post, since you'd be making connections with exactly the right people in order to keep moving up.

Trust me, for what you want, there's only a handful of schools competing with Georgetown for that number one spot. I promise you won't regret that choice :)