Combine all salad ingredients except for the cheese and pita and set aside.
In a jar or bowl, combine oils with the vinegar, mustard, garlic, salt, pepper, and herbs. Whisk until creamy or use an immersion blender to mix in just a few seconds.
Pour ¼ C of dressing over the salad and toss until combined. Spoon salad over warm pita and top with a slice of provolone cheese. Serve with remaining dressing.