Which part of Georgia are you in? That would be of more help than any other information you provide.
When to feed your lawn depends on what it needs.
What is the pH of the soil?
How much organic matter is in that soil?
How well does that soil drain?
How well does that soil retain moisture?
What kind of life is in that soil?

Thank you for your questions.
Location is ten miles west of Augusta.
The ph is 6.5, I am not sure how much organic matter is in the soil, but it is a rich dark color, it drains well and appears to hold moisture for a week to ten days in the summer heat.
Though there is one small area (2,000 sq ft. that is in more shade and is much more red clay based that dries out a lot quicker.

Thank you

Perhaps these simple soil tests might be of some help.
1) Soil test for organic matter. From that soil sample put enough of the rest to make a 4 inch level in a clear 1 quart jar, with a tight fitting lid. Fill that jar with water and replace the lid, tightly. Shake the jar vigorously and then let it stand for 24 hours. Your soil will settle out according to soil particle size and weight. For example, a good loam will have about 1-3/4 inch (about 45%) of sand on the bottom. about 1 inch (about 25%) of silt next, about 1 inch (25%) of clay above that, and about 1/4 inch (about 5%) of organic matter on the top.

2) Drainage. Dig a hole 1 foot square and 1 foot deep and fill that with water. After that water drains away refill the hole with more water and time how long it takes that to drain away. Anything less than 2 hours and your soil drainsâ too quickly and needs more organic matter to slow that drainage down. Anything over 6 hours and the soil drains too slowly and needs lots of organic matter to speed it up.

3) Tilth. Take a handful of your slightly damp soil and squeeze it tightly. When the pressure is released the soil should hold together in that clump, but when poked with a finger that clump should fall apart.

4) Smell. What does your soil smell like? A pleasant, rich earthy odor? Putrid, offensive, repugnant odor? The more organic matter in your soil the more active the soil bacteria will be and the nicer your soil will smell.

5) Life. How many earthworms per shovel full were there? 5 or more indicates a pretty healthy soil. Fewer than 5, according to the Natural Resources Conservation Service, indicates a soil that is not healthy.

You can apply alfalfa pellets any day, or every day, of the year. Start now. Make the first app at 10 pounds per 1,000 square feet. Give that at least 3 weeks to 'mellow' and then, any time after that, you can start applying at 20 pounds per 1,000 square feet. Apply the pellets and moisten them. They will swell up and look like green worms. If you drag a hose across them they will break up and fall down into the turf.