Combine the warm plant milk with the yeast in the bowl of a stand mixer. Add eggs, butter, sugar, and salt. Mix well. Add 4 cups of the flour (save the remaining ½ cup to add later, only if needed). Mix well, then allow the dough to rest for 5 minutes.
Using the dough hook, knead for 5-7 minutes until the dough is elastic and smooth. Add in up to ½ cup of remaining flour if needed.
Transfer dough to a greased bowl, cover, and allow the dough to rise until doubled.
While the dough is rising prepare the filling - combine the brown sugar and cinnamon.
After the dough has risen, sprinkle the work surface with flour. Roll the dough into a 24x15 rectangle, or as close as you can get it.
Spread the softened vegan butter evenly over the dough. Sprinkle the sugar-cinnamon mixture evenly over the butter.
On the long end of the dough, roll it tightly. Cut into 12slices and place into a greased 9x13 baking pan. Cover and allow the rolls to rise until nearly double in size.
After the rolls have risen, remove the cover and pour the warm(not hot) coconut cream over all the rolls.
Bake at 375 for 20 minutes. Rolls should be lightly browned and center rolls cooked through.
While rolls are cooling, prepare the frosting. Mix the softened vegan cream cheese and softened vegan butter with an electric hand mixer. Add vanilla and powdered sugar. Beat until blended well.
Spread frosting over the cooled rolls.