Preheat grill to medium high (you do not want the grill blazing hot)
Rub seasoning all over the chicken. You can do this in advance if you have time. It can sit in the refrigerator for up to a day.
Place the chicken on a foil lined cookie sheet. If you have a cookie rack that fits in the sheet then use that as well. It helps the heat to circulate around the chicken while cooking.
Drizzle olive oil on chicken and bake uncovered for 45-55 minutes. Or until an instant read thermometer registers 160° in the thickest part. Make sure you are not touching bone when you test the temperature.
Remove the chicken from the oven and place on the heated grill. Brush BBQ sauce on and let grill for about 5-10 minutes. Just until the sauce begins to thicken on the chicken.
Remove from grill and let rest a few minutes. Enjoy homemade BBQ!