A few things I do with extra eggs;
Not really a sale so to say, but I give a small circle of friends eggs, and if they ask, or they may have seen, in my foyer, entrance way, where nobody really watches but when answering the door, is a cute little piggy bank (except it's not a pig, it's a ceramic red hen bank), and a polite sign that says, "I'll never sell you an egg, or accept a dime you hand me, but my chickens will. They eat the contents of this bank, and then some. When I go to town to buy feed, It's always nice to find something here before I go. Don't tell me what you put in, or when. Don't think it's something expected every time you leave, or counted like that, I just take what I find and add it to the hen's pay, they do most of the work, and appreciate your support, whenever you have a couple of bucks to throw in". I find quite a bit in there, probably more than I'd get selling at $x per dozen.
But I still have eggs left over often. If I get more than 3 dozen around, and one of my 3 one gallon jars is free, I'll pickle a jar full. I love pickled eggs, especially spicy hot and lots of mustard in the pickling juice. When I give one of these away, eyes really light up. I tell 'em just save the jar, and find me some more big jars like that. If they try to pay, I tell them the hen by the door will take some money but I won't.
Every once in a while I'll come home and find a big bag of my brand of laying pellets leaning on my front door, and just a few days ago I came home to two five gallon buckets of whole corn by the door.
Also my Coon Hound likes eggs, when I have time to fix my own breakfast, weekends, and a few weekdays, he usually gets an egg or two scrambled in his dog food bowl, then his regular kibble on top of it (and bacon, or sausage juice too). He guards chickens that's how they pay him back.