Not all students in NROTC get scholarships, which are awarded competitively: Naval Reserve Officers Training Corps - Home Page
Of course, there is the US Naval Academy, but admission there is highly competitive (similar for US Military Academy for Army).
Your other thread says that you are a Florida resident who needs a net price of <$10k, but with parental income that prevents need-based aid to get there, and that you have a 3.93 GPA, 1580 SAT, and NMSF.
Of the small number of schools (besides the USNA and USMA) with ABET accredited nuclear engineering:
- University of New Mexico has a competitive full ride Regents Scholarship: Scholarship Office | The University of New Mexico
- North Carolina State has a highly competitive full ride Park Scholarship: Frequently Asked Questions - Park Scholarships
- South Carolina State has a full ride Presidential scholarship: Scholarships | Financial Aid | SC State University