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1
Preheat the oven to 350F.
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2
Plunge the lobster headfirst into a large pot of boiling water and cook until the lobster is bright red, about 2 minutes.
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3
Using tongs, cool the lobster under cold running water.
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4
Pat dry with paper towels.
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5
Do Ahead: At this point, the lobster can be prepared up to 8 hours ahead.
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6
Cover and refrigerate.
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7
Using an oval-shaped roasting pan just large enough to fit the lobster, cover the bottom of the pan with 1/2 cup of the sea salt.
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8
Set the lobster a top the sea salt.
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9
Pour enough remaining sea salt over to cover the lobster completely.
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10
Bake for 30 minutes.
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11
Meanwhile, heat the oil in a heavy medium saute pan over medium high heat.
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12
Add the mushrooms and saute until the mushrooms are golden brown, about 2 minutes per side.
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13
Remove from the heat.
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14
Stir in 2 teaspoons of the tarragon.
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15
Season the mushrooms to taste with fleur de sel and pepper.
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16
To Finish And Serve:
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17
Using the handle of a heavy large knife, break the salt crust covering the lobster.
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18
Transfer the lobster to a cutting board.
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19
Remove the lobster tails and claws from the body.
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20
Crack the shells and carefully remove the tail and claw meat from the shells.
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21
Cut the tail lengthwise in half.
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22
Place 1 lobster tail half and 1 claw on each of 2 plates.
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23
Top with the butter slices.
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24
Sprinkle with the remaining 1 teaspoon tarragon.
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25
Surround with the sauteed mushrooms and serve immediately.