Combine first 3 ingredients in a shallow dish. Dip cheese slices in egg whites, and dredge in breadcrumb mixture. Cover and chill at least 2 hours.
Heat 1 1/2 tablespoons olive oil in a large nonstick skillet over medium-high heat. Add 4 goat cheese slices; cook 30 seconds to 1 minute on each side or until lightly browned. Remove cheese from pan, and keep warm. Repeat with remaining oil and cheese.
Divide greens evenly among 4 plates. Top each with 2 goat cheese rounds, and drizzle with Blackberry Vinaigrette.