I am not familiar with Rutgers’s scholarship/merit aids, just what I googled. You’ll have to spend some time on the website. Some schools are transparent, some not.
Another college you may want to research is University of Cincinnati. We didn’t know anything about the school when she was applying, but we recently heard good things about their Industrial Design program. It’s a 5 year program because coops are required. University of Cincinnati
In your initial post, your interest included design, cognitive/CS. I wondered if you are interested in Industrial Design. Most people are not knowledgeable about it; I think U of Cinn’s description of ID is very thorough. Often UI/UX and product design positions look for ID training.
“People who are successful in industrial design have visual and kinesthetic/tactile learning styles. Industrial designers must be intrigued by how things work, enjoy putting things together and not be intimidated by the need to generate alternate solutions to complex problems. Product design involves the synthesis of a variety of diverse requirements and values into a coherent creation. Among such requirements and values are functional suitability, aesthetics, technical performance, economic resources and constraints, social and cultural issues, environmental concerns and human comfort. They must be attentive listeners, possess strong communication skills and be comfortable interacting with many different types of people. Industrial designers must have excellent time- and project-management skills, and must understand business planning. They need to know how to create informative and persuasive proposals and maintain good client relationships.”