Wash, hull, and completely dry the 8 whole strawberries.
Mash or blend 2 to 3 additional strawberries. Strain and measure 1/4 cup puree.
Beat the cream cheese, powdered sugar, and salt until smooth.
Gradually beat in the cold heavy cream until the filling holds firm peaks.
Cover each whole strawberry with cream and place it on a parchment-lined tray.
Freeze for 15 minutes or refrigerate for 30 minutes, just until firm.
Whisk the glutinous rice flour and sugar in a microwave-safe bowl.
Whisk in the puree, water, oil, and optional food coloring until smooth.
Cover loosely and microwave for 1 minute. Stir with a wet spatula.
Microwave for another minute, stir, and continue in 20- to 30-second intervals until glossy and stretchy.
Transfer the hot dough to a generously starched work surface.
Cool for 8 to 10 minutes, keeping the dough warm and flexible.
Divide the dough into 8 equal portions.
Flatten each portion into a 4-inch disk with a slightly thicker center.
Place one chilled strawberry pointed-side down in the center.
Pull the dough around the filling and pinch the seam closed.
Turn seam-side down, gently round the mochi, and repeat.
Refrigerate for 15 to 20 minutes before serving.