In a small bowl, mix the mayonnaise and barbecue sauce together until smooth. Cut the rolls open for sandwiches. Then cut the cheese slices into 4 squares, 20 total. Remove 30 Funyuns from the bag and set aside. Crush the remaining Funyuns, in the bag, into crumbs. You should have about 1 1/2 cups Funyuns crumbs.
Preheat a griddle (or grill) to medium heat, between 375-400 degrees F. In a large bowl, mix the ground beef, shredded cheese, Funyuns crumbs, 1 teaspoon salt, and 1/2 teaspoon crushed red pepper. Mix well. Then use a 3 tablspoon cookie scoop to portion out 20 balls. Flatten the balls into patties, 1/2-inch thick.
If using a griddle, butter the griddle and toast the interior of the rolls for 30-60 seconds, until golden. Remove the rolls. Then butter the griddle again and add the slider patties. Cook the patties for 3 minutes. Then flip, add a small cheese slice to each patty, and continue cooking another 3 minutes. *If using a grill, skip the butter for both the rolls and the patties.
Meanwhile, place a small dollop of barbecue mayo to the bottom portion of each roll. As the cooked patties come off the griddle, place a patty of each roll and top with another Funyun and a sweet pickle. Then cover the sliders with the roll tops. Serve warm.
NOTES: I stacked my pickles on top of each slider with a party pick, just for kicks!