Heat 2 tablespoons olive oil in a large skillet over medium-high heat. Add the scallion whites, zucchini, eggplant and red pepper flakes. Cook, stirring occasionally, until the vegetables soften, 8 to 10 minutes. Add the garlic and season with salt and pepper. Continue cooking until the garlic is softened, about 1 more minute.
Stir the tomatoes, beans (and their liquid) and 1/2 cup basil into the skillet and bring to a simmer. Cook, stirring occasionally, until the sauce thickens, 6 to 8 minutes.
Reduce the heat to medium low to maintain a gentle simmer. Make 8 wells in the sauce and crack 1 egg into each well; season each with salt and pepper. Cover and cook until the egg whites are set but the yolks are still runny, 8 to 10 minutes. Remove from the heat and top with the scallion greens and the remaining 1/2 cup basil. Drizzle with the remaining 1 tablespoon olive oil. Serve with the baguette.
Photograph by Ryan Dausch