Pour your milk into a microwave-safe bowl, and microwave for 1-1 ½ minutes, just until your milk is lukewarm. Pour your milk into the mixing bowl, and add sugar, salt, and yeast. Mix to combine. Allow the mixture to sit for 5 minutes. Add eggs and butter. Stir to combine. Add flour and stir until dough forms a ball. Add more flour if necessary.
Roll 1/3 of your dough out onto a flat surface. Top with 1/3 of your soft butter, and then sprinkle with brown sugar and cinnamon. Spread the sugar/cinnamon mixture out so that it covers the top of your dough evenly.
Using a pizza cutter, cut the dough into rows and columns, so that each piece is about 1 inch wide by 1 ½ inches long. Spray your muffin tins with cooking spray.
Roll each piece of dough, into a mini roll-up. Place them into the muffin tins, until they are filled almost full. Cover and let rise for 1-1 ½ hours.
Preheat your oven to 375°F
Once the dough has risen to be about double the size, place it in the oven and bake for 12-15 minutes. Or until a toothpick inserted in the center comes out clean. Remove and allow to cool.
In a mixing bowl, cream butter, and cream cheese. Add vanilla, salt, and powdered sugar, stir to combine. Drizzle cream cheese frosting on top of your warm copycat cinnamon melts.