Binghamton appears to be the most selective public university in a wide geographical area that includes New England and Pennsylvania:
http://www.businessinsider.com/the-610-smartest-colleges-in-america-2015-9
In the case of UVM, their low admission yield (13%) seems to indicate that few students truly have the school high on their lists.
The above statistics dispatched, I’d recommend that, after a visit to Binghamton, you choose the school you like and can afford.