Q.Elephant garlic
I live in southern KY. I planted elephant garlic this past spring and it was doing really well until we had a whole month of gray, wet weather. I lost my zucchini plants to stem rot and my garlic started to rot as well. I dug them up and planted them in dry, fresh dirt. The bulbs were extremely wet. Nothing happened. Now, mid Oct. they are sprouting. Shoots are about 6-8 inches high. We are starting into frost warnings at night but I cover my elevated garden each night as I have peppers and eggplants still growing. What should I do about the garlic? Is it going to die off as the temps fall? What is the best way to keep them, at least for replanting next spring? Thanks.

Garlic is ready to harvest when the leaves die down.
I suspect when you dug up your bulbs then replanted you the bulb reset it's growth.
You certainly could harvest the garlic and replant the bulbils.
Here are some links for you.
https://www.gardeningknowhow.com/edible/herbs/garlic/types-of-garlic-propagation.htm
https://www.gardeningknowhow.com/edible/herbs/garlic/how-to-grow-garlic-in-warmer-climates.htm
https://www.gardeningknowhow.com/edible/herbs/garlic/save-garlic-next-year.htm