Preheat oven to broil. Line a baking sheet with aluminum foil and set aside.

Season chicken breasts on both sides with paprika.

Wrap a bacon strip around each chicken breast starting at the top and working your way down. Add another bacon strip if needed, until the chicken is fully wrapped in bacon. Repeat with the remaining chicken breasts.

Broil for 4 minutes. Remove from oven and turn over. Broil for another 4 minutes. Remove from oven and turn over. Brush each chicken breast with barbecue sauce and return to the oven. Broil for another 4 minutes and remove from oven. Turn the breasts over and brush with barbecue sauce again. Continue this process in four-minute increments until the chicken and bacon are fully cooked. Serve hot.