Preparation Puree first 9 ingredients in processor until paste forms, occasionally scraping sides of bowl. Transfer curry paste to bowl. (Can be made 4 days ahead. Cover; chill.) Boil coconut milk and clam juice in heavy large saucepan until reduced to 2 cups, about 20 minutes. (Can be prepared 1 day ahead. Cover and refrigerate.) Heat oil in heavy large skillet over high heat. Add 6 tablespoons curry paste; stir 1 minute. Add shrimp and sautéuntil beginning to turn pink, about 2 minutes. Using slotted spoon, transfer shrimp to plate. Add reduced coconut milk mixture to same skillet; boil until mixture coats spoon thickly, stirring occasionally, about 7 minutes. Add white part of bok choy; boil until beginning to soften, about 2 minutes. Add snow peas; stir until crisp-tender, about 1 minute. Return shrimp to sauce. Add green part of bok choy and mushrooms; toss until heated through, about 5 minutes. Sprinkle with basil. Serve over rice.
Preparation Puree first 9 ingredients in processor until paste forms, occasionally scraping sides of bowl. Transfer curry paste to bowl. (Can be made 4 days ahead. Cover; chill.) Boil coconut milk and clam juice in heavy large saucepan until reduced to 2 cups, about 20 minutes. (Can be prepared 1 day ahead. Cover and refrigerate.) Heat oil in heavy large skillet over high heat. Add 6 tablespoons curry paste; stir 1 minute. Add shrimp and sautéuntil beginning to turn pink, about 2 minutes. Using slotted spoon, transfer shrimp to plate. Add reduced coconut milk mixture to same skillet; boil until mixture coats spoon thickly, stirring occasionally, about 7 minutes. Add white part of bok choy; boil until beginning to soften, about 2 minutes. Add snow peas; stir until crisp-tender, about 1 minute. Return shrimp to sauce. Add green part of bok choy and mushrooms; toss until heated through, about 5 minutes. Sprinkle with basil. Serve over rice.