In a large bowl, mix ground beef with smoked paprika, garlic powder, onion powder, chili powder, salt, and black pepper until evenly combined.
Divide the beef mixture into 10 to 12 equal-sized meatballs.
In a small bowl, whisk melted butter with grated garlic, chopped parsley, Dijon mustard, smoked paprika, cayenne, dried oregano, and flaky salt to make the cowboy butter.
Heat a large skillet or griddle over medium-high heat and add a small amount of butter or oil.
Place one tortilla on the skillet and position a meatball in its center.
Use a spatula or burger press to smash the beef flat against the tortilla.
Cook until the bottom of the tortilla crisps and the beef browns, about 2 to 3 minutes.
Flip the tortilla so the beef side faces down, immediately top with shredded cheese, and cook another minute until beef is cooked through and cheese melts.
Brush the exposed tortilla edges with cowboy butter while cooking.
Remove from heat and repeat with remaining meatballs and tortillas.
In a small bowl, whisk mayonnaise, ketchup, hot sauce, pickle juice, smoked paprika, garlic powder, and cayenne to prepare the spicy dipping sauce.
Chill the dipping sauce until ready to serve.
Before serving, brush each tortilla melt with warm cowboy butter.
Arrange tortilla melts on a platter and serve with dipping sauce.