For the pimiento cheese: Put the Cheddar, mayonnaise, pimientos, relish, onion powder, salt, pepper and hot sauce if using in a food processor and blend until smooth and creamy.
For the burgers: Heat a griddle or cast-iron skillet over high heat.
Mix the beef, garlic powder, onion powder, salt and pepper together in a bowl and form the mixture into 4 patties. Cook the patties on the hot griddle to the desired doneness. Butter the insides of the buns and season with salt. Toast on the griddle to golden brown.
Smear the insides of the buns with a thick layer of the pimiento cheese. Top with the crispy bacon, a burger patty, a piece of Bibb lettuce and some pickles. Add a few dashes of hot sauce if desired.