Add the warm milk, warm water, honey, eggs, and instant yeast to the bowl of a stand mixer and whisk briefly to combine. Attach the dough hook and add 3½ cups (420 g) of the flour, the salt, and the softened butter. Mix on low speed until the dough begins to come together, then increase the speed slightly and knead until the dough clears the sides of the bowl and wraps around the hook, about 3–4 minutes. If needed, add additional flour 1 tablespoon (8 g) at a time just until the dough comes together. Continue kneading for 4–5 minutes more. The dough should be soft and supple, slightly tacky but not sticky. Avoid over-flouring, as this will result in dry rolls.
½ cup (120 ml) warm milk, ¼ cup (60 ml) warm water, ¼ cup (85 g) honey, 2 large eggs, 1 tbsp (about 1¼ standard yeast packets) RapidRise yeast, 3½-4 cups (420-480 g) all-purpose flour, 1 tsp (5 g) kosher salt, ½ cup (113 g) butter
Transfer the dough briefly to a clean surface. Lightly spray the mixing bowl with nonstick cooking spray, return the dough to the bowl, and cover tightly with plastic wrap. Let rise in a warm place until doubled in size, about 1 hour.
Whisk together the melted butter and honey for the filling and set aside. Spray a 12-cup muffin tin with nonstick cooking spray.
6 tbsps (85 g) butter, 6 tbsps (127 g) honey
Turn the risen dough out onto a clean work surface and divide it in half. Roll one half into a rectangle approximately 14 × 16 inches (36 × 41 cm). Cut into 6 long strips, then cut each strip into 6 pieces, for a total of 36 rectangles. Brush each piece with the honey butter, stack in groups of 6, and place each stack on its side into a muffin cup. Repeat with the remaining dough to fill all 12 muffin cups.
Cover loosely and let rise again until noticeably puffy, about 20–30 minutes. They do not need to double during this second rise. Meanwhile, preheat the oven to 350°F (175°C).
Place the muffin tin on a rimmed baking sheet lined with parchment paper to catch any honey butter that may bubble over. Bake for 18–22 minutes, or until the rolls are golden brown. Let rest in the pan for 5 minutes, then carefully transfer to a wire rack. If desired, brush the warm rolls with additional melted butter and drizzle with honey before serving.
Additional melted butter for brushing after baking, Additional honey for drizzling