Preheat broiler.
Cut the loaf into 1-1/2 inch slices and then cut each slice in half. Arrange the pieces of bread on a baking sheet and drizzle with half the olive oil. Place under the broiler and toast until golden brown, about 1 to 2 minutes on the first side. Watch it carefully so that it doesn't burn. Flip over and drizzle with the remaining olive oil. Return to the broiler and toast the second side for another 1 to 2 minutes. Allow to cool.
Meanwhile, in a medium bowl, mash together the avocado, 1 tablespoon lime juice, 1/2 teaspoon salt, 1/2 teaspoon black pepper, and red chili flakes with a fork until smooth. Set aside.
In another bowl, carefully mix together the crab meat, mint, cilantro, remaining salt, remaining pepper, and remaining lime juice until evenly combined.
To assemble the toasts, spread each piece of bread with avocado, top with a generous amount of the crab mixture and then top with a few slices jalapeño, a few slices of radish and a sprig of fresh cilantro. Finish off with a touch of coarse sea salt on top. Enjoy!