Preheat your oven to 400°F.
In a small baking dish, combine the peaches, garlic, melted butter, olive oil, and honey. Toss everything together.
Roast for 25 minutes, until the peaches are tender and the garlic is soft.
Switch the oven to broil for 2–3 minutes until the peaches are lightly caramelized.
Let the peaches cool for at least 10 minutes.
Meanwhile, whisk together the olive oil, balsamic vinegar, honey, Dijon mustard, salt, and pepper to make the dressing.
Arrange the arugula on a serving platter or in a large bowl.
Top with the roasted peaches, roasted garlic, and torn pieces of prosciutto.
Place the burrata in the center of the salad.
Drizzle with the dressing, then sprinkle with crushed pistachios, torn basil, and a few cracks of fresh black pepper.
Serve immediately with crusty bread if desired.