In the bowl of a food processor, grind freeze-dried fruit and sugar until powdery and fine, about 1 minute. Add cream and stir with a fork to be sure no dry pockets of sugar/fruit are stuck in the corners, then pulse until thick and creamy like Greek yogurt, less than 2 minutes. The time will vary with the horsepower of your machine, so watch it like a hawk to avoid making fruity butter by mistake. Once mixture is thick and creamy, enjoy immediately or transfer to an airtight container and refrigerate up to 1 week.