It would be so nice to have an egg swap here. There is one on Facebook for Michigan but it is a SWAP and if the person you want to get eggs from doesn't want what you have, you are SOL.
One thing that may help is a "credits" system. For instance, my mutt chicken eggs are worth 1 credit per egg. Purebred RIR, Barred Rock, Buff Orpington, Silkie or other pure bred common breeds could be 2 credits. Specialty chickens like LO, BCM, CL, real AM could be 3 credits. 4 credits for BLRW, Tolbunt Polish, or other hard to get variants. Ayam Cemani or some of the other really out there breeds more credits. Credits could also be assigned a dollar value, so that people who want eggs early in the season can get them in the incubator before their own birds start laying.
Essentially, each contributor could post the credit value of what they have, and another contributor could bid to accept them either by using cash equivalent or trade credits. Then the original contributor could select from all the available eggs to obtain what they want using the credits from the first transaction. That way someone who has and wants turkeys could trade with someone who has turkeys and wants ducks.
A credit system would allow people who get many dozens of eggs a day to trade with people who have a flock of 6 mixed chickens, or mixed ducks and turkeys, etc. It would let someone who has 50 RIR to swap eggs to get some BLRW, because someone else may want RIR. And it would help keep eggs affordable, as overpriced eggs won't have many takers.
This may be WAY too much work for a ship-a-thon but wouldn't it be nice to be able to trade with little cash changing hands and with a trade counter to track credits earned and spent?