One acre is doable. I have Kikos. I currently run around 2.3 goats per acre on 15-acre paddocks. I might worm a few young kids a year at my current land coverage, but other than that, I don’t touch my goats except for flea, tick, lice, and mites treatment. Occasional pink eye, just small things, or they are small to me. I live in zone 8b. I graze mostly fescue mixed with rye grass. I have some Bermuda as well.
If you’re looking to boost size and/or milk production, there can be issues with fescue because of endophyte, which is a fungus proven to reduce milk production. It could be fractional, I don’t know. But my goats grow to normal size, and it hasn’t caused me any issues. The endophyte actually helps the grass by supporting it nutritionally and making it more drought-tolerant, which makes it perfect for growing here in northeast GA where it gets decently hot with long periods without rain. This grass will grow in pretty much any condition with the endophyte and stays green, feeding animals year-round.
Rye grass comes up in spring and fall and is one of the best grasses nutritionally you can grow in Georgia. It dies off when it gets hot. There are perennial and annual varieties.
Bermuda grows in the hot summer months then turns brown and goes dormant. It is a little more tolerant to grazing than fescue, being able to handle being eaten down to around 2-2.5 inches from the ground but grows much slower.
Goats don’t need to be in grass lower than 8 inches because the worms will come up around 6 inches from the ground.
Goats need forage or hay to sustain. Doesn’t matter what you feed them; they grow out the same with proper nutrition. 24/7 minerals and salt. Forage/grass or hay/grain makes little difference in growing them. With milking goats, you will definitely need to feed heavier grain, I would say definitely between 0.5-1 lb a day.
Another thing I will mention is loamy soil vs spongy soil. The more loamy the soil, the harder it is to get water and absorb the water. You want to work on the soil, especially if you have hard red clay, but that doesn’t seem to be the case for you for the most part. You want to either fertilize (which can get pricey) or find someone near you with chicken houses. For that small an area, you could spread it yourself, or if they have a spreader and are close, they might come drop a load for you. Some counties will test your soil's pH for free, or you could take it to a university like UGA if that’s close for you.
