You could also make the argument that someone running something like this would consider it too important not to be involved.
According to Hankey, a Marita Lorenzto attended a meeting the day before the assassination in which Howard Hunt (the person Nixon had running the Watergate break in) "handed out money and maps to groups of men". So Howard Hunt would have been the man on the ground coordinated/running the operation personally.
I think it was the Mark Lane book Plausible Deniability in which he said Hunt stated he was home when Kennedy was shot and his family had said he was not.
Marita Lorenz. She testified to that in federal court, Hunt v. Liberty Lobby.