Rutgers or anywhere that approximates the same costs for you and she likes it. College of arts and sciences or a LAC. Let her find her way. If she decides she likes business. She can be an Econ major and get an mba. Or internally transfer at Rutgers if she has the grades etc. or if she says I like stem. Engineering is only one letter of the acronym. She can go to med or law school too. Geesh everyone.
She sounds exactly like hundreds of thousands of students each year. Let her find her path at a great and affordable option like Rutgers or economic equivalent. Also she may get interested in something during this process as well looking at schools and majors. Classes this year too. Once you have your acceptances and costs in hand. Then make the hard choices with her leading the way.