The Naval Academy is not for everyone, and you don’t sound very enthusiastic about it. I would say, there’s a better than average chance you’ll be miserable. That’s a full ride you need to think long and hard about. Not only is your life miserably controlled down to the minute, they’re going to be telling you what job you get after college. And it might not be nuclear physics. As a civilian, you get the opportunity to choose a career path you want.
If you don’t want the Navy, I would go for UCLA and be happy. Even if you don’t choose the academy, if you decide you like the armed services anyway, you can get an ROTC scholarship at UCLA.