To prepare the lobsters, plunge a heavy chef's knife through each head just above the eyes, making sure the knife goes all the way through the head. Pull the knife in a downward motion between the eyes. Twist off claws where they join the bodies; set claws aside. Twist off tails from the bodies. Reserve bodies.
Place tails on a cutting board; press to flatten.
Cut in half lengthwise.
Remove the vein that runs down the center of each tail. Cover and refrigerate tails.
Bring a large saucepan of water to a boil.
Add claws to boiling water; cook 5 minutes.
Remove claws from pan, and cool. Separate knuckles from claws.
Remove meat from knuckles and claws.
To prepare sauce, heat canola oil in a large, shallow saucepan over medium-high heat.
Add lobster bodies to pan; cook for 5 minutes, stirring occasionally.
Add shallots and garlic; saut 1 minute.
Add peppercorns and tomato paste; reduce heat to medium, and cook 1 minute, stirring constantly. Stir in brandy and vermouth; cook until liquid is reduced by half (about 5 minutes).
Add 2 cups Shrimp Stock; bring to a boil. Reduce heat to low, and simmer 10 minutes.
Add cream, basil, and tarragon; simmer for 5 minutes. Strain mixture through a fine sieve over a bowl. Discard solids. Stir in 1/4 teaspoon salt and ground white pepper. Keep warm.
Preheat oven to 35
To prepare beurre mont, bring 2 tablespoons water to a simmer in a small saucepan.
Add butter, 1 tablespoon at a time, stirring constantly with a whisk until butter melts.
Sprinkle remaining 1/4 teaspoon salt over tails.
Brush 3 tablespoons beurre mont over tails. Arrange tails in a baking dish.
Bake at 350 for 10 minutes or until done.
Add claw and knuckle meat to remaining beurre mont; cook over low heat until thoroughly heated.
Remove tail meat from shells; place one piece of tail meat in each of 4 shallow bowls. Divide knuckle and claw meat evenly among servings, and discard remaining beurre mont. Spoon 1/2 cup sauce over each serving.