All the responses above seem correct to me as regards your specific question about "chance for scholarship".
I'd like to make an Admissions observation.
As you know, the scholarship can only be applied to a school to which you have been admitted on an academic basis... that is, through Admissions. This is my concern given your SAT/ACT stats and your intended major of civil engineering. I am not specifically familiar with the schools you have listed, but in general, those Admissions departments in Engineering will be looking for your math aptitude, and the math courses you have taken through Jr. year, and in which you are enrolled Sr. year. Engineering is a rigorous and math intensive major at any school, and typically over half of those students who were admitted into an Engineering major wash out by Jr. year... and those washouts probably had much higher SAT than 1270, and much higher ACT than 27.
What were your Math scores on the SAT and ACT? Did you take the SAT subject test in math, and if so, what score did you get? In Calculus, did you actually understand the concepts, vs. just learning how to apply formulas but not really sure why?
Regarding declared Majors in general:
The National Center for Education Statistics reports that 80% of entering college students change their major. Some discover more interesting majors, some change by necessity because they are not able to keep up with the pace of the major due to a lack of prior preparation, inherent lack of aptitude, or just hate the GRIND... typically STEM majors. It's amazing how many students enter college as Sociology majors (maybe half a percent), and how many graduate as sociology majors (a whole lot more). By the way that isn't a dig on the importance of understanding people and cultures and how they interact, which is really fascinating. This is relevant to you because if you enter NROTC as a Type II major, and you find it's not for you or you can't keep up, then you'd likely switch to a Type III major (non-STEM), and that switch is not always approved by the NROTC cadre on your campus who need to sustain the 85% mandate for STEM major graduates for NROTC commissionees.
Just food for thought on your broader educational journey, and best of success in our scholarship pursuit.