1. In a large pot, combine first four ingredients with enough water to submerge crabs. Do not submerge crabs at this point. Bring liquid to a simmer and add crabs headfirst to water. Cook the 1 1/2- to 2 1/2-pound crabs about 15 minutes, and the 3-pound crabs about 20 minutes. Strain cooked crabs into a colander and rinse briefly under cool water. Serve with Drawn Butter, Tarragon Aioli and Aioli with Piment d'Espelette.
2. Drawn Butter:
3. In a small pan over low heat, melt butter and skim any solids that rise to the top. Pour butter into ramekins for use tableside, leaving behind any milk solids that have settled to the bottom of the pan. Makes 3/4 cup.
4. Tarragon Aioli:
5. In the base of a blender or food processor, whirl garlic cloves, tarragon leaves and egg yolk to create a creamy blend. Add lemon zest and juice and blend again. With machine running, slowly drizzle in olive oil to create an emulsified, creamy consistency. Avoid adding oil too quickly or vinaigrette will separate. Add a teaspoon of water when emulsion becomes tight and then continue to add oil. Season to taste with salt and fresh pepper. Makes about 1 cup.
6. Aioli with Piment d'Espelette:
7. Place garlic, lemon juice, and salt in the bowl of a food processor; process to combine. Add egg and, with the motor running, slowly add oils until mixture is thickened and emulsified. Stir in piment d'Espelette and refrigerate. Makes 1 1/2 cups.
8. Professional Recipe: This recipe was provided by a chef, restaurant or culinary professional and makes a large quantity. The Food Network Kitchens chefs have not tested this recipe in the proportions indicated and therefore cannot make any representation as to the results.
9. Food Network Kitchens suggest caution in consuming raw and lightly-cooked eggs due to the risk of Salmonella or other food-borne illness. To reduce this risk, we recommend you use only fresh, properly-refrigerated, clean, grade A or AA eggs with intact shells, and avoid contact between the yolks or whites and the shell. For recipes that call for eggs that are raw or undercooked when the dish is served use shell eggs that have been treated to destroy Salmonella, by pasteurization or another approved method.