LITS, yes, I think NOAA used to have an office at USMMA in the naval science building and run their OCS-like course there for their newly-commissioned officers out of various college programs, including USMMA and the state maritimes. I have some hazy thought they may have moved that to USCGA in more recent years.
For OP, though, if your DS isn't fully into "I'm gonna be a warrior" mode, and serve with combatant units, then USNA might not be a great fit. USNA.edu spells that out pretty well. USNA is just an interim way station enroute to a minimum 5 years of uniformed service as a warfare officer. That bit is what your DS should want to do, and should be the driver behind applying.
NOAA is a small, highly professional service that does interesting non-warfare things all over the world in an ocean-going service environment.