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Combine warm milk and sugar in a large bowl. Sprinkle yeast over top and let sit 5-10 minutes until bubbly.
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Add melted butter, eggs, and salt to yeast mixture. Add flour one cup at a time, stirring after each. Knead on floured surface 5-7 minutes until smooth and elastic.
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Place dough in greased bowl, cover, and let rise 1 hour until doubled. Punch down and roll into a 16x12-inch rectangle.
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Spread softened butter over dough. Mix brown sugar, cinnamon, and nutmeg; sprinkle evenly over butter. Roll up tightly from the long side and cut into 12 pieces.
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Place rolls cut-side up in a greased 9x13 dish. Cover tightly and refrigerate overnight (8-12 hours).
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Easter morning: Remove from fridge 30-45 minutes before baking. Preheat oven to 375°F. Bake 22-28 minutes until golden brown.
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While rolls bake, beat cream cheese, butter, powdered sugar, and vanilla until fluffy. Add milk to reach drizzle consistency. Frost warm rolls and serve.