Prepare Tarragon Dressing: In a medium bowl or jar, combine olive oil, white wine vinegar, yogurt or mayo, tarragon, garlic, honey, salt, and pepper; whisk well to combine.
Pat feta dry with a paper towel, and cut into ¼-inch thick pieces. Add cornstarch to a shallow bowl. Dredge each piece of feta in cornstarch, coating all sides.
Heat olive oil in a medium skillet over medium heat. Once the oil is shimmering, arrange feta pieces in pan. Cook for 2 minutes, or until golden and crisp underneath. Gently flip, and cook 1 to 2 more minutes. Use a spatula to transfer feta to a plate.
Arrange lettuce in a large serving bowl or platter. Drizzle with half the dressing and lightly season with salt and pepper; toss well to combine.
Scatter the fried feta, avocado slices, eggs, strawberries, and radishes over lettuce. Spoon remaining dressing over the top. Garnish salad with fresh chopped dill and extra cracked black pepper.
