Like aart said, you may want to check with local laws,,,, most areas generally allow egg sales as long as they are sold on your property,, so a sign at the end of your driveway will probably draw in more than enough customers. You may also want to look into farmers markets,, the markets in our area allow egg sales and meat bird sales as long as you do not process the birds yourself and have them done by a certified processor.
As others have said, churchs and workplaces are also options, start asking co-workers if they may be interested.
Other avenues you can explore are small restaraunts or coffee shops that sell breakfast sandwiches,,, many "mom and pop" type places like the draw of using real fresh eggs. We supply a small coffee shop here with about 8-10 dozen a week.
Steer clear of trying to get into grocery stores, even small town ones. Generally when you get into that market you have to be selling graded and sized product and many times your facility will need to be inspected, blah, blah, blah. It's more headache than it's worth.