If I were looking for a bargain at a private college in New England, I’d start with Springfield College because their costs are so low for a private college to begin with. Tuition, fees, room, & board = $61,700. And they have a reputation for being generous with financial aid. On the tour I took with my GS, we were told by our tour guide, “If you don’t like what you are offered, appeal it and they’ll increase it.” Springfield is best known for their health sciences programs and is not AACSB accredited, but they do have several business majors.
About a mile away from Springfield College, on the outskirts of town, is Western New England University and they are AACSB. They offer about a dozen business majors. Their cost of attendance is about $66,000. In the case of both of these colleges, you only need grants/scholarships in the neighborhood of $25.000 - $30,000 to get the cost down to something similar to Rutgers. I believe that your daughter will be competitive for such awards at both.