Furnished Apartments For Rent Near Seton Hall University . In total, there are 414 student housing options available near seton hall. View apartments for rent in seton hall university, nj. Towne Gardens Apartments Madison, NJ 07940 from www.apartmentguide.com 9 w south orange ave south orange, nj 07079. When renting a cheap apartment in seton hall university, nj, you should expect to have fewer amenities and fewer square feet when compared to. 45 off campus apartments near seton hall university.