I had the same issue last year in July. My 25 years Amana fridge gave up, an attempt to fix it failed due to parts not available.
Checking regular website (HD, Lowes, BB, Sears, Amazon, AJ Madison, etc), delivery time was about 6 - 8 weeks (no guarantee).
Then I remembered buying the fridge that gave up from a local scratch-dent appliance store.
So, I went there, they had about 10 different variety of new fridge still shrink wrap with scratch and dent, obviously.
They opened the wrap for me to see, I found what I like, paid them with delivery fee and delivered/installed the next day (picked up the bad fridge, too).
It was a Black Whirlpool with French Door without door water/ice dispenser which I like (less feature, less problem).
It has a small hail ding which usually covered by fridge magnet.
The install was not easy because of the size, they have to dismantle/assemble the fridge doors to go inside the house.
They spent a good 30-40 minutes to do it.
Well worth the price of $75 delivery fee.
Moral of the story, I am sure in the Atlanta area, there should be local new appliance scratch and dent store.
Find those type of stores, check what they have in stock
We cannot be too picky but if you need it fast, that is probably what is available.