You have as good a chance as anyone. Your EC’s are focused and related. That’s a plus.
Coming from NJ is a bit tough ( more candidates) than some other states. Also, you are ORM. Full Pay is helpful.
BTW< Nobles has only a tiny boarding population. It’s known for its sports and also has lots of legacies with Ivy league degrees so if you looked at it as a “feeder” you would have to dig much deeper.