Line the bottoms of the muffin tin with parchment paper. (See video below)
Scoop the ice cream using a pair of spoons into the muffin tin. Each ice cream ball should be about the size of a small of a gum ball. It doesn't need to be a perfect ball. Place the tray into the freezer while you make the mochi.
Add 1/4 cup of the dried strawberries into a food processor or grinder. Grind into a course powder.
Add the sweet white rice flour, sugar, salt, unground dried strawberries, and ground strawberries into a large microwave safe bowl.
Add 1 1/4 cup water and stir. Cover the bowl and place in the microwave for 1 minute. Remove from the microwave and stir. It should be thick and slightly translucent around the edges.
Place the bowl back in the microwave for another 45 seconds. Remove and stir with a wooden spoon. At this point, it should be very sticky and hard to mix. If it hasn't reached that consistency, place it back in the microwave for another 1 to 2 minutes (it really depends on the wattage of your microwave), until the dough is sticky and slightly translucent.
Pour 1/2 cup of the potato starch onto your working surface. Empty the contents of the bowl onto your surface and shape the dough into a ball. The dough will be incredibly sticky, so apply additional potato starch to your hands as necessary.
Use your rolling pin to flatten the dough into a long sheet, about 1/4 inch thick. Apply generous amounts of potato starch to make sure your rolling pin does not stick to the dough.
Using a small bowl or cup, cut out a circle from the dough. Place an ice cream ball in the center and wrap the dough around the ball, by bringing the dough up and pleating and pinching the tops. (See video below) Repeat for remaining dough and ice cream.
Use a pastry brush to dust the mochi with additional potato starch. Place the wrapped ice cream balls in the freezer for at least 2 hours before serving.