^NU has a pretty good engineering program too and a few disciplines are highly ranked.
OP, unless you are trying to get into top consulting firms for which NU is a heavy target, you are better off taking the full ride (assuming you don’t qualify for much aid from NU). Most employers in other fields are not as prestige obsessed and you would be the big fish in a smaller pond at Loyola. Your path in those fields is really all about you, rather than which school you attended.