Preheat your grill or smoker to medium heat.
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In a large mixing bowl, whisk together the all-purpose flour, baking powder, baking soda, sugar, and kosher salt.
In a separate bowl, combine the cold buttermilk and melted butter.
Pour the wet ingredients into the dry ingredients and gently mix until just combined.
Fold in the shredded cheddar cheese, chopped green onions, smoked paprika, garlic powder, onion powder, and black pepper. Mix until evenly distributed throughout the dough.
Use a spoon or cookie scoop to drop portions of the dough onto a baking sheet or cast-iron skillet coated with cooking spray or brushed with melted butter.
Place the baking sheet or skillet on the preheated grill or smoker. Close the lid and bake for 12-15 minutes or until the biscuits are golden brown and cooked through.
Remove from the grill or smoker and let them cool slightly.
Serve the smoky buttermilk drop biscuits with butter, jam, honey, or any of your favorite toppings.