Many thanks for chancing me. You seem to have a solid theme throughout your application, and stats within range of all of these schools. With that said, I’m sure a few, or all, will find a place for you.
Carleton: High-ish match (slightly below that if anything, but I’m not sure)
Cornell: Low reach
Davidson: High-ish match (same as Carleton)
Duke: Reach
UMich: High match
UNC Chapel Hill (EA): High match
Vanderbilt: High match
WashU: Low reach
You have a high chance at getting into at least one of your several matches, and a fair shot at the low reaches and up. I agree with jamesjunkers in that Cornell could see you as a solid fit depending on what you’re applying to.
Edit: Good luck!