Combine ground beef and pepper in a large bowl until blended. (Do not overwork meat mixture.) Shape mixture into 8 (4-inch) patties; spoon 1 1/2 Tbsp. pimiento cheese in center of each of 4 patties. Top with remaining 4 patties; pressing edges to seal. Cover and chill at least 30 minutes. Sprinkle evenly with salt.
Grill, covered with grill lid, over medium-high heat (350° to 400°) for 7 to 8 minutes on each side or until beef is no longer pink. Serve on buns with desired toppings and remaining pimiento cheese.
The flavor was good, but these were difficult to cook. I had to put them back on the grill twice to cook them completely through. For the same flavor, and ease, I would just cook burgers as you normally would and top with a dollop of pimiento cheese once they're off the grill.
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