So he goes on a pheasant hunt, it is not clear who shoots the pheasants (probably the guide or one of his handlers), but when it comes time to pick up the pheasants for the photo-op, JFK picks them up by the necks and gets blood all over his camos.
They gently advise him to hold them by the feet, but his schedule is running late and there's no time to change the camos for the photo-op. So they go ahead with the shoot and doctor the photos. A few days later, the photo is on campaign lit which is in everybody's mailbox in SW PA and southern Ohio.
The real story has already made the rounds through hunting circles. So the only thing the men who got the mailing are talking about is finding where the photo was doctored. The doctors did a great job, but you can still find it if you know where to look.