Tulane lists it’s peers in their G14 consortium as: Boston College, Boston University, Brandeis University, George Washington University, Lehigh University, New York University, Northeastern University, Southern Methodist University, Syracuse University, Tufts University, University of Miami, University of Notre Dame, and Wake Forest University.
If you child likes the city vibe of Tulane - I’d look more closely at BC, BU, GWU, and Tufts. Wake and Brandeis, while not really in the city, are close to Raleigh and Boston and also worth a look.
I don’t think Northeastern is the same vibe as Tulane at all.