For a honeydew melon at peak flavor and juiciness, look for one at the farmer\’s market from July through October. In the U.S., California growers are by far the most prolific honeydew melon suppliers, followed by Arizona, Texas, Georgia, and Florida.Honeydew melons are juicy, sweet, and refreshing, but only if you know how to tell if honeydew is ripe. The key to delicious honeydew is paying attention to the signs it’s ready to eat. Cut into it too soon and you get a hard, flavorless fruit. Leave it to ripen on the counter too long and you end up with a vinegary taste and mushy texture.