Rinse the chicken drumsticks under cold water and pat dry with paper towels.
In a small bowl, mix together salt, black pepper, garlic powder, smoked paprika, onion powder, and dried thyme.
Rub the spice mixture evenly over all sides of the chicken drumsticks.
Place the seasoned drumsticks in the crock pot in a single layer.
In a separate bowl, whisk together the barbecue sauce and chicken broth until combined.
Pour the barbecue sauce mixture over the chicken drumsticks in the crock pot.
Cover the crock pot with its lid and cook on low heat for 4 to 4 1/2 hours, until the chicken is cooked through and tender.
Once cooked, carefully remove the drumsticks from the crock pot and place them on a serving platter.
Optionally, spoon some of the sauce from the crock pot over the drumsticks before serving.