Place beans, sweet peppers, cucumber, radicchio, and radishes in separate self-sealing plastic bags. For dressing, in a screw-top jar combine oil and lemon juice. Cover and shake well. Add honey, salt, and cracked pepper to taste, covering and shaking well after each addition. Pour 1 to 2 tablespoons dressing into each bag. Seal bags. Chill 2 to 4 hours, turning bags occasionally (beans, green peppers, and cucumber may be chilled up to 24 hours).
To serve, arrange vegetables and dressing along with feta cheese in strips on a serving platter. Sprinkle with fresh parsley and/or mint. Makes 8 to 10 servings.