Heat a grill to medium-high heat or about 375°F. You could also grill the items in a grill pan on the stove.
Make the marinade by mixing the olive oil, lemon juice, rice wine vinegar, soy sauce, honey, shallots, herbs and seasonings in a medium-sized mixing bowl.
Place the squash, peaches and corn in a baking pan. Pour the marinade over them and marinate for 15–20 minutes.
Place foil on the grill and grill everything until the vegetables begin to char in spots. Remove from the grill. Once the corn is cool, remove the kernels from the cob.
Arrange the salad: Place the arugula on a platter followed by the grilled veggies, burrata cheese and fresh cherry tomatoes. Top with more fresh herbs and the remaining dressing.
