Churro French Toast Bake

Name: Churro French Toast Bake
Ingredients: 2/3 cup heavy cream; 2/3 cup whole milk; 1/4 cup brown sugar; 1 heaping tablespoon vanilla bean paste; 4 large eggs, beaten; 8 medium croissants; 3 tablespoons cane sugar; Scant teaspoon ground cinnamon; 2 tablespoons melted salted butter; 3 ounces Mexican chocolate, chopped; 2 tablespoons heavy cream; 2 sticks salted butter, at room temperature; 3 tablespoons powdered sugar; 1 heaping tablespoon cocoa powder; 1/4 cup bottled caramel sauce, plus more for serving