Cook the Eggs: Fill a medium saucepan with water and bring to a rolling boil. Gently lower the 6 eggs into the boiling water. Set a timer for exactly 7 minutes to achieve a firm white and a luscious, jammy yolk. While the eggs cook, prepare a large bowl with ice and cold water. Once the timer sounds, immediately use a slotted spoon to transfer the eggs to the ice bath to halt the cooking process. Let them cool for at least 5 minutes before peeling.
Make the Spread: In the bowl of a food processor, combine the rinsed and drained chickpeas, non-fat Greek yogurt, lemon zest, lemon juice, grated garlic, 3 tablespoons of dill, 3 tablespoons of chives, and 2 tablespoons of the extra-virgin olive oil. Season generously with freshly ground black pepper. Blend for 60-90 seconds, scraping down the sides as needed, until the mixture is mostly smooth with a pleasing, slightly rustic texture.
Toast the Bread: Preheat your oven's broiler to high, with the rack positioned about 6 inches from the heat source. Arrange the 6 slices of whole-grain bread on a baking sheet. Using a pastry brush, evenly coat one side of each slice with the remaining 2 tablespoons of extra-virgin olive oil. Broil for 2-3 minutes, watching carefully, until the tops are golden brown and crisp.
Assemble the Toasts: Remove the toasted bread from the oven. Divide the herbed chickpea-yogurt spread evenly among the toasts, spreading it generously from crust to crust on the toasted side.
Smash the Eggs: Carefully peel the cooled seven-minute eggs. Place one peeled egg in the center of each toast. Using the back of a fork or spoon, gently press down on the egg to burst the yolk and "smash" it slightly, allowing the jammy center to spill over the white.
Garnish and Serve: Finish each toast with a final crack of black pepper, a sprinkle of extra fresh dill and chives, and a light dusting of smoked paprika or red pepper flakes, if desired. Serve immediately.