Agree with the others, you have already made up your mind.
I am very attuned to prestige, and I’m here to tell you that Amherst is more prestigious than Dartmouth. The Ivy Leagues is an athletic conference. It doesn’t dispense magic dust that transports schools to another realm. Dartmouth is a great, prestigious school, no doubt. But Amherst is that slightly more elite. None of this would matter except this seems to be something that’s causing you some conflict.