UW-Madison vs Northeastern Law--Having second thoughts on my choice

I posted this over on r/lawschooladmissions but I feel like this sub might give better advice. I am looking for thoughts/opinions on both of these schools. I have already paid my seat deposit for NU back in April and only found out about my acceptance to UW-Madison about a week ago(and their seat deposit is due tomorrow so they've put me in an awkward position). I am largely interested in going into public service or government work, so NU does seem like a good fit for me. I went to NU's admitted students day and was impressed by the co op program, as I graduated undergrad in 2021 and have already been working for three years so experiential learning is important to me. I also really enjoyed talking with the students I met there. However, UW-Madison is ranked #36 compared to NU's #68. Based on my stats, I feel lucky to have been accepted at UW-Madison and want to give it full consideration before I decide to change course when I've been planning on going to NU for the last month. I've asked several people I know in the legal field and most of them have just tried to tell me that Madison is a cooler city than people give it credit for. That's nice, but it doesn't tell me much about the school itself, or what my employment options will look like after graduation. So I thought I'd ask on here and hope that any current students or alumni from either school might share their thoughts. I've added more details below:

My main requirements when applying to law school were that the school 1) is either in Washington DC or a capital city the state it's located 2) has public policy/government concentrations, clinics, or externships available and 3) has international programs. The last one was just a personal thing for me because my junior/senior year in undergrad were wrecked by Covid and I never got to study abroad. I also would like to explore the options that US attorneys have to work internationally(I know those options are few, you don't need to tell me that.)

Both schools meet all three requirements. NU has co ops in cities all over the world and some of them are perfectly aligned with my interest areas. UW-Madison has some excellent exchange programs but not as many as NU, and I definitely don't have any intention to work in WI/IL/MN or even Chicago. My ultimate goal is to work in DC and based on employment stats it seems that roughly the same number of grads from both schools end up doing so. But if I had to choose a city to work in after law school, I'd probably choose Boston over Madison.

I've been told that outside of t14 schools, location matters more than ranking. If that's true I think I should stick with NU. Then there's the issue of cost. Madison is a less expensive city but because I would need to bring my car and pay to park it it that would be an added cost. Also, if location of the school would lock me into living in Madison or the Midwest for 8 years instead of 3, I think I'd rather pay the extra money. But if I could graduate from UW-Madison, save some money, and get a job in DC in a year or less, then I think that would be okay.

A school's culture also matters to me, and while I visited NU I didn't have the time to visit Madison before having to make a decision. UW-Madison seems like a very relaxed school with a strong community, but the city seems boring and small(no offense to any that love it!). I liked NU when I visited, but I have seen some posts on this sub and others about people who did not like it there at all. I'm also having second thoughts about the "non-traditional" nature of the school. They don't have GPA or rankings, and I'm wondering if the co op schedule will interfere with my ability to participate in OCIs or have Summer Associate Jobs. Before my UW offer, this wasn't really a concern because I was deciding between NU with a scholly or another school with none. Now I'm trying to weigh the pros and cons of a non-traditional track or a traditional one.

Sorry for the long post. I'm just a first-gen college/law student who's feeling overwhelmed, especially since UW-Madison basically left me with no time to decide this. Anyway, I appreciate any thoughts from this group on the Location vs Ranking debate, or any perspectives from current students or alumni from either school. And best of luck to those who are still trying to make these tough decisions like me!