Preheat oven to 450F. Line a large cookie sheet with parchment paper.
In a large mixing bowl, whisk together the flour, baking powder, baking soda, and salt. Using a pastry blender, a fork, or two knives, cut the cold butter and cream cheese into the flour mixture until it resembles coarse sand or crumbs.
Stir in the buttermilk just until combined.
Turn the dough out onto a floured surface and knead just until it comes together into a ball. Flatten the dough out into a circle, about 3/4-inch in thickness. Use a 2-inch biscuit cutter to cut out round biscuits, then re-roll the extra pieces of dough to cut out the remaining biscuits.
Place the biscuits on the prepared cookie sheet and bake at 450F for 10-12 minutes until lightly browned.
While the biscuits are baking, add the butter and honey to a small saucepan and heat over medium heat until the butter is melted. Continue to cook over medium heat, whisking constantly until smooth. Remove from the heat.
Remove the biscuits from the oven and generously brush with some of the honey butter. Return the biscuits to the oven to bake at 450F for 3-5 minutes until golden brown.
Spoon the melted honey butter over the biscuits to serve, or refrigerate until set and then whip with an electric mixer until light and creamy.