In a small bowl, combine the ground beef, paprika, garlic powder, pepper, salt, and flour. Form two 1/3 lb patties and grill until you reach your desired temperature (I usually shoot for at least medium rare or medium).
While the burgers are cooking, make the guacamole. Smash the avocado into a smooth paste in a medium bowl. Add cayenne, garlic powder, and lime juice. Stir until everything is incorporated evenly. Season with salt and pepper to taste.
When your burgers are almost done cooking, butter the cut sides of the hamburger rolls and toast on the grill (approximately 2-3 minutes). Also add your pineapple rings to the grill and cook for approximately 1 minute on each side. Remove toasted rolls, burger patties, and pineapple rings from the grill.
To assemble your burgers, add a patty to each bottom half of a roll. Add a generous scoop of guacamole. Top each with 2 bacon slices, a grilled pineapple ring, teriyaki sauce, and baby arugula. Finish with the top half of each roll. Then get messy and devour that burger!