For the burgers: Coat a stove-top grill pan or griddle with cooking spray and set over medium-high heat to preheat. In a large bowl, combine beef, bacon, salt, and black pepper. Mix well and shape mixture into 4 patties, each about 1-inch thick. Place burgers on hot pan and cook 3 to 5 minutes per side, for medium. Arrange onions alongside burgers and grill 1 minute per side, until just golden. Place cheese on burgers and cook 1 minute, until cheese melts. Serve burgers on rolls with onions on top.
For the black-eyed peas: Heat oil in a large skillet over medium-high heat. Add peas and cook 3 to 5 minutes, until golden brown. Add salt and black pepper, to taste, and stir to coat. Remove from heat and stir in Parmesan and parsley. Serve alongside burgers.