Dartmouth or Princeton Undergrad?

Hi everyone,

I'm currently a senior trying to decide whether to apply to Dartmouth or Princeton early decision for undergrad. I really like both schools a lot, virtually equally, so my decision now basically comes down to OCR, internships, academics, and job prospects. I know both schools are very strong for Wall Street placement, and are magnets for Bulge Bracket firms; but I'd like to know how is PE/HF recruiting at Dartmouth (I know these firms only recruit at very few schools for undergrad, and I know Bridgewater comes to Dartmouth, but how does its OCR pan out for other firms)?

When it comes to fit, I feel like I'd be a good fit for both Dartmouth and Princeton, but the outdoorsy vibe of Dartmouth really appeals to me as well.

Also, I know Princeton is the school with more "prestige," but will I be missing out on any opportunities if I go to Dartmouth instead? How do their academics compare, especially for the econ major?

Before anyone suggests Wharton Penn, I am not considering it early because I really don't want to go to college in a city; I prefer the suburban/rural campus feel of Princeton and Dartmouth.

Lastly, could anyone chance me for either school, based on my stats? Which school gives me a better chance of getting in early (I know Dartmouth has the higher acceptance rate, but do my extracurriculars and other factors make a difference, especially for Princeton?)

I have:
-SAT: 1590
-GPA: 4.47/5.33 Weighted
-SAT Math II: 800
-Started two clubs at my HS: Wounded Warrior Project chapter and Young Americans for Freedom chapter
-Developed portfolio optimization algorithm in MATLAB for a stock trading competition for my school's business club
-Published a paper on option pricing with a university professor
-Internationally volunteered to teach robotics in a school in India
-Prolific guitarist in world fusion and metal styles; I've performed in many countries, and am currently working on releasing an album (I have two songs ready for the arts supplement for either school; also Idk if this is worth mentioning anywhere but the drummer on my album is a grammy winner; does this help with apps?)

Thanks!