Have you ever tried storing pigeon eggs for a length of time before incubation starts? I posted in a similar fashion to yours a year or so ago and did not get any responses. I had hopes of having Indian Fantail eggs shipped, but...
In order for shipping to be successful eggs have to have a decent shelf life. Pigeons and doves start incubation with the first egg or soon after. Therefore, it may not be possible to ship them and have them be viable. I was always going to experiment with this, but never got around to it.
Another thought, pigeons lay in the latter afternoon. Eggs would need to be collected at that time to ensure development does not start. Once started, the eggs would die when they became chilled.
Good luck with this. I'd be most interested in what happens.