If the outdoorsy thing is very important, Purdue doesn’t check that box. It’s hard to beat Utah for outdoorsy stuff. You can literally step off campus at the U of Utah and go hiking. You don’t even have to drive anywhere. I say this as an outdoorsy person who has lived by both schools. I did it ALL when I lived in Utah. In Indiana, I just do road biking. I go on what my friends call “hikes”, but I would call them gentle nature walks.
There’s quite a few schools that meet all your son’s criteria, so he’s in luck!