I know some will disagree with me here; that's not uncommon. But, I have to honestly say: If you have little interest in Annapolis or West Point, then you SHOULDN'T apply to them. Not unless you're willing to admit to yourself that the ONLY reason you're applying is for the "Free Education".
You have to be TRUE TO YOURSELF. Wherever you get accepted, assuming you do, you owe them 9 years of your life!!! 4 at the academy and 5 of active service. If you have little desire to be in the navy or army, then you will NOT perform up to your potential. You will feel that you "SETTLED" for something you didn't want.
Each person is different, and they apply to the various academies for different reasons. But I truly believe that you shouldn't apply to a military academy unless you're passionate about it. My son and I had this conversation when he decided to apply. He ONLY applied to air force. He really wanted air force. Had no desire for the other 4 branches of service. But he also realized that the academy CAN'T BE YOUR GOAL!!! The academy is simply a stepping stone; a means; to helping you reach your goals. He figured, if he didn't get an air force academy appointment, he would apply for ROTC. If he didn't get that, he would attend traditional school and possibly get a commission in the air force via OCS.
Don't get me wrong. There are some that truly want "TO SERVE". They don't care which branch of the military. For them; applying to ALL the academies makes sense. But if you truly have no desire for navy or army, then I would encourage you to rethink applying to them. "BE TRUE TO YOURSELF".