IMO, Oswald did it.
An old work buddy was in the Navy in the late 50s and early 60s, a lot of that time aboard a destroyer. He wound up involved in the Bay of Pigs, and in the blockade. He actually has a small but nice piece of the story, although until he told it to me, he didn't know it. :') I'll have to contact him soon, see how he's doing, and find out the exact details to share it.