
Heat 1½-2 inches of water in a large stockpot with a trivet or steaming basket. Bring to a rolling boil (boiling rapidly with loads of bubbling).
Gently put the lobsters in the steamer basket. Cover the pot with a tight-fitting lid, and return to a boil as quickly as possible. Start the timer for 7-8 minutes for 1½ pounds of lobster. Add 2-3 minutes per additional pound for extra-large lobsters.
Quickly remove the lobster from the pot when the timer goes off and put them in a bowl of ice water. Let cool for a couple of minutes.
Carefully remove the lobster from the water; you can use tongs and place it on a board or working surface.
Separate the head and tail, crack the claw without tearing the meat, and remove the meat. You can also break it open with a rolling pin or mallet.
Cut open the tail's underside with kitchen shears. Carefully remove the meat from the shells without tearing it.
Chop the meat into bite-size pieces. Then, set aside until ready to assemble the rolls.
Heat a cast-iron skillet on medium-high, brush melted butter on the cut side of the hot dog buns, and place a bun cut side down. Toast until golden brown.
Repeat with remaining buns. Set aside.
Heat a small saucepan over medium, melt butter, and then add garlic and chopped lobster meat. Saute for 3-4 minutes or until heated. Stir in the basil (and tarragon if desired) and lemon juice. Saute for another minute, remove from heat and set aside.
Divide the lobster meat equally between the buns and garnish with fresh chives. Serve your hot lobster rolls with extra butter sauce and lemon wedges.