I have a good friend whose son is a freshman there now. Princeton was always his "dream" school, though for academic reasons. Playing baseball for him was the icing on the cake.
I think they have a very competitive baseball team, at least in the Ivy League. I don't know much about their facilities but if you don't get what you need from BeenthereIL, PM me and I'll see if I can link you up with my friend for more info.
It is my understanding that they do not give baseball scholarships, despite being Division I. Just so you'll know!