Nick, man up.
My son's PSATs, then SATs, were low-ish, though his grades, ec's, sports, leadership were great. He applied to NASS and was turned down INSTANTLY. Then he got a letter from USNA admissions saying, "Normally we open a USNA applicant file for all NASS applicants; we're not doing that for you."
He was devastated. But he didn't quit, or feel sorry for himself.
Enter his sainted BGO: He happened to call to introduce himself at about that time, said, "Wait, I know your school, and know your grades aren't inflated -- let me see if I can get a file opened for you." He did. Son got SAT tutoring, upped SATs but not to 1800. Still, he applied, blah blah blah, heard nothing. A classmate received an appointment. Son figured he didn't make the cut.
So son got on a plane, flew 3,000 miles and just appeared at the Academy. Somehow got to see his admissions officer and a coach (in a sport he wants to pursue but hasn't tried). Frankly, didn't get any encouragement. At all. I mean, LESS than no encouragement.
Came home, sad but believing he'd done everything possible. 48 hours later phone rang (on a Sunday), and his BGO said, "How'd you like to go to NAPS?"
He's now a 2/C, top 15% of his class, 1st Sgt in his company, training plebes this summer, blah blah blah. The point is, if you want it, keep pushing. This path is not for the faint of heart.
Don't give up!