I am not at all sure about this Binghamton back door - which doesn’t even lead to the business school. I haven’t heard of Xavier University, so I can’t comment. Are these the only two choices?
As a higher ed faculty member and also a parent of a junior in HS, I am frankly appalled at all these “back door” programs with fancy names. It’s a way for the university to get tuition $$ without a direct admit because they are trying to protect the stats of the incoming freshmen (and thus their rankings).