Preheat a grill or heat a grill pan over medium high heat. Slice nectarines halves into eighths and lightly brush with a little olive oil.
Place nectarine slices on the grill and cook 2-3 minutes until grill marks have formed and are slightly softened. Flip and repeat, cooking another 2-3 minutes. Remove from heat and let cool.
In a small bowl, whisk together all ingredients for the vinaigrette. Set aside.
In a large salad bowl, toss together the greens, cherry tomatoes, heirloom tomato slices, cherries, and vinaigrette. Top with burrata and turkey slices.
Sprinkle with any remaining fresh herbs, ground black pepper and garnish with finishing salt. Serve with toasted baguette as desired.