The Maximum Height allowed to enter Naval Aviation Flight Training is 78 inches. That comes out to 6'.5"
The Air Force even found room for Chad Hennings at 6'.6".
Not to mention the degree and GPA, AQT/FAR scores, and getting through your states AOCS selection committee.
HINT: Don't do NROTC...it guarantees nothing except 6 years in the Navy.
Pick a worthy academic endeavor (engineering, mathematics, life sciences or physical sciences), study harder than anyone you know, set your objective, set your intermediate goals, crush everyone. Then, your junior year, visit the campus officer recruiter and outline to him everything I just typed and what your results were vs. your goals. Tell him you'd like a date and time to sit for the AQT/FAR and what you grad date is.
Crush it.