Could aways try storing the excess eggs for cooking later as they used to in jars in a 'waterglass' solution -Sodium Silicate I think dissolved in boiled water and allowed to cool. They used to store Autumn eggs for use in Winter, or even for sale, as prices were much higher. This is before the days of Hybrids and electric lighting, when all hens used to stop for moulting and over Winter. Very important to only use clean, unwashed and undamaged eggs as one going off wrecked the batch. So about a dozen maximum placed very very carefully in each jar before covering with solution by about 3".