In state tuition at New Jersey state colleges is about $14,000 per academic year. The College of New Jersey is at $17,000 for tuition & fees plus $14,000 for room & board. If you can commute, it is affordable.
Rutgers tuition is $15,500 for New Brunswick. Room & Board is about $13,200. Add $1,000 for books & supplies. Total = about $30,000 per year.
OP: You need to ask about financial aid & scholarships & work study at each New Jersey school to which you apply.