To make the shrimp bisque, heat up a wide pot on high heat until it starts to smoke, then add in 100 grams of clarified butter with 625 grams of shrimp shells. Cook the shells until they start to turn GBD golden brown and delicious, about 8 minutes. Turn off the heat and deglaze the pan with 125 g Armagnac, I used Cognac.
Use a flat wooden spoon to scrape the fond from the bottom of the pot, then turn the heat back on to medium. Add in 210 grams of ½ inch diced onion, 125 grams thinly sliced carrots, 140 grams thinly sliced button mushrooms, and 90 grams sliced leeks to the pan. Then add 1,500 grams of the shrimp stock and use the wooden spoon to scrape any fond from the bottom of the pan, and bring to a boil.
Add in 3 sprigs thyme, 5 bay leaves, 315 g tomatoes cut in a 1 inch dice with 315 grams cream. Bring down to a simmer over low heat and cook this for 40 to 45 minutes or until the stock has reduced by about one-third.
Strain, then use a wooden spoon to crush the shells, or you can use a potato ricer and squeeze out all that goodness. Discard the shells then into a clean pot use a sauce strainer to strain the stock, using a swirling motion to leave any undesirables behind.
Return the stock to the heat and add in 50 grams of kashikuri rice. Cook this over high heat, skimming away the starch that floats to the top. Reduce this until you have 850 grams of bisque, which will take 30 minutes.
Add the bisque to a blender with 50 grams whole butter, 5 grams lemon juice, 17.5 grams Pre-Hy, and with more cognac to taste then blend this on high speed for about 30 seconds, or until the bisque is smooth, seasoning to taste with salt. Strain this into a clean pot, tapping the strainer to leave behind any large pieces of rice. Check the seasoning and add more cognac, lemon juice or salt if needed. Rub 20 g of tarragon in between your hand to help release the flavor for five minutes than strain into a sauce pot. The bisque can be refrigerated for up to 3 days or frozen for up to 3 months