That's why ice cream is churned, to get smaller ice crystals. I don't know what ingredients were in your recipe, but they might take to being blended, put in the freezer for a bit, removed and blended again, put back in the freezer. Repeat however many times you want/feel is necessary.
The biggest thing I miss now that we live our super spartan off grid style is my ice cream. I did the frozen bananas through the yonanas machine. I did chocolate, chocolate mint,
apple cinnamon walnut, strawberrry and peanut butter, plum and nutmeg, etc. I ate it almost every day. That machine gets you perfect texture. I was just pining after it last night 😁