Preheat grill to medium-high heat, approximately 400°F to 450°F (204°C to 232°C).
Pat chicken breasts dry with paper towels to ensure proper searing.
Combine salt, pepper, garlic powder, and smoked paprika in a small bowl.
Apply olive oil to both sides of the chicken and season evenly with the spice mixture.
Place chicken on the grill grates and cook undisturbed for 6 minutes.
Flip the chicken breasts and brush the grilled side generously with barbecue sauce.
Cook for an additional 5 to 6 minutes or until the internal temperature reaches 160°F (71°C).
Apply sauce to the second side, flip, and cook for 1 minute to caramelize the sugars.
Remove chicken from the grill and transfer to a clean plate.
Tent with foil and let rest for 5 minutes to reach a final internal temperature of 165°F (74°C).