Rosebank Farms
This is by far the most prolific local farm that I know of. I primarily buy their products through Growfood Carolina as they stock everything they grow throughout the year and more convenient for me. However, whenever I am in the area I swing by their daily market close to Kiawah Island on John’s Island. It is always fully stocked and they have some other local goodies and fresh fish and shrimp as well when in season.
Sidi Limehouse is a Charleston Legend and Grows some of the most consistent and delicious vegetables you can buy here. He seemingly grows just about everything you can grow here as well.