You could find a health food store that might like to sell local farm fresh quail eggs. Also, many places do farm co-ops where people order products from different farmers, and pick it up all in one location each weeks. You can list your eggs there.
If you want to Sell volume, find a person willing to buy wholesale from you. Like a health Food store or gourmet eatery. You’ll make lesss per carton, but it’s less work.