Is it even possible to get true free range eggs anywhere? I know plenty say cage free, but that could just be opening the cage for an hour or so in a day just to make the marketing claim.
Drive into the country and look for the hand-painted sign that says, "EGGS 4 SALE". Selling traditionally farmed eggs to city people is a relatively common way for rural people to make a little cash on the side, or for 4H kids to learn the business. You can think of it like a lemonade stand without the pity purchases.
You may need to bring your own containers, tolerate an occasionally unreliable supply, buy only at a few oddly-scheduled times during the week, and pay in cash. Also, don't tell your foodie friends where you found them.
Sure. There are some CSA (community-supported agriculture) farms around where you can order eggs from pastured chickens (raised on actual pasture as opposed to the poorly-defined "free range") and they will ship to you periodically.
I believe cage free is just what it says: they are cooped together as a flock, but not in individual cages.
Also as the other commenter says, drive around a rural area and you'll likely see any number of farms advertising fresh eggs. However, even there, many of them keep the chickens in a run or coop and they are fed mostly chicken feed. Better living conditions than the average commercial battery farm to be sure, but the eggs won't taste that much different.