Shave 5 zucchini into ribbons with a vegetable peeler, discarding the core. Toss with 1/2 teaspoon kosher salt in a colander and let drain, 30 minutes. Smash 6 ounces blackberries in a large bowl. Stir in 1/4 cup olive oil, 4 teaspoons each honey and lemon juice and 1 red Fresno chile (1/2 finely chopped, 1/2 sliced); season with salt. Squeeze the liquid from the zucchini; add the zucchini to the berry mixture and toss. Season with salt and pepper. Transfer to a platter; top with chopped chives.