Jake- Do some research....at the NROTC website there will be a list of schools that offer NROTC. Print it. Figure out which schools have the field of study that you are interested in and then start narrowing down from there Remember that NROTC has tiered Majors that restrict your major selection.
Start with this master list and find the school that fits you best. Also, find a school that you can afford if you do not get selected for a scholarship. We saw many people on this forum, well qualified, who were not selected. Everyone needs a backup plan.
Great that you are starting early!