I am going to be a stick in the mud just cause I am the paranoid type.
I would first require that I know what story they plan to use it for before I would grant permission.
I can just see them using the pics of the eggs to slander us on the whole captive breeding front: "See here how a hobby breeder flagrantly publicizes eggs he is incubating from python like the one that killed that poor child in FL..."
Remember, they are news agents, it is their job to lie through their teeth to get the story.