Preheat the oven to 375F. Line a baking sheet with parchment paper or Silpat mat.
Place the radishes on the baking sheet, and bake until they turn translucent and feel soft when poked. Remove them from the oven, and let them cool for 5 minutes while you gather the remaining ingredients.
In a food processor, blender, or immersion blender, combine the roasted radishes and cream cheese. Blend to combine.
Add the remaining ingredients, including the fresh herbs, if using. (You might have to add a little bit more yogurt until it reaches a creamy dip consistency. Not all radish bunches are created equal, and you don’t want your chip to break while dipping.)