Allow burrata to come to room temperature. Meanwhile, grill the sourdough bread for 2-3 minutes per side over high heat on a BBQ grill until toasted. Then, grill an avocado, sliced, for up to 2 minutes per side. To assemble, place the sliced grilled avocado on the sourdough toast, top with burrata. Drizzle with olive oil, sprinkle with lemon zest, sea salt, red pepper flakes, and black pepper. Serve immediately.