Preheat oven to 350 degrees F (175 C). Bake for 30-40 minutes until edges start to brown. Remove pan(s) from oven and allow the to cool for about 5 minutes before serving.
For the icing, whisk ingredients together in a medium bowl until thick and smooth. Serve on top of warm buns.
*If you have trouble finding coconut cream at your local grocery store it's completely fine to use full-fat coconut milk and scrape the cream off of the top. Just be sure that it's cold enough to separate.