It’s very clear that both colleges are excellent. At this point, you’re grasping at straws to find meaningful differences that would justify paying a lot more money for Hamilton. There’s a great big difference staring you in the face: $80,000. These two colleges are both top tier in terms of prestige and outcomes, and people who matter (employers, grad school) will know this. This isn’t like a choice between Harvard and Podunk State U. It’s more like a choice between Duke and Vanderbilt. Neither is better than the other.
$80,000 is a year (or two) of college for another kid, if you have one. That’s major home repairs, amazing family vacations, new cars, or just a cushion for unexpected emergencies. Unless she strongly feels she will be miserable at Richmond, I think it’s time to play the parent card and pay a deposit there.