One of the largest cultivators of blackberries, Driscoll Farms, grows both organic and non-organic blackberries. For their organic-certified berries, they have gone through rigorous testing from the California Certified Organic Farmers (CCOF) certifying agency. Organic blackberries are grown without the use of synthetic pesticides, herbicides, or fertilizers. Organic blackberries are free from genetic engineering that means the fruit retains its natural nutrition levels and flavors. In most cases, you can order organic blackberries through Instacart.