Remove the side muscle from the bay scallops if they haven't already been removed. Pat the scallops and shrimp dry with paper towels. Season with salt and pepper. Refrigerate until ready to cook.
Prepare the beans:
Heat 1 teaspoon extra virgin olive oil in a saucepan over medium heat until hot. Add the minced shallot and cook for 3-4 minutes until the shallot begins to soften and turn golden brown. Add the garlic and cook until fragrant, another minute or so more.
Add 2 tablespoons of the butter to the saucepan. Once the butter is melted and frothy, add the drained beans and toss in the butter. Add the paprika and a pinch of crushed red pepper to taste.
Stir in the chicken stock and bring to a boil. Season with salt and pepper. Reduce heat to very low and simmer, uncovered, for 15-20 minutes.
Cook the shrimp and scallops:
Heat the remaining 2 tablespoons of butter in a large skillet over medium-high heat until very hot. Add the shrimp and cook in an even layer for about 1 minute 30 seconds per side or until opaque. Once cooked through, transfer to a bowl.
Return the skillet to medium-high heat. If the skillet seems a bit dry, add a bit more butter or olive oil. Add the scallops and cook in an even layer for about 1 minute. Flip and cook an additional 1 minute. Remove from heat immediately.
Finish the beans:
Stir the lemon juice and half the lemon zest into the pot with the beans and simmer for 2–3 minutes. Taste and season the beans to your preference.
To serve:
Divide the beans between bowls and divide the sliced basil leaves over the beans. Arrange half the bay scallops and half the shrimp on top of each dish. Garnish with the reserved lemon zest. Enjoy!