Weather information for Captiva Island, Florida. Perhaps you already know that Captiva is subtropical, that its location miles into the Gulf of Mexico moderates the climate year-round, so it's never sweltering hot in the summer and never bitter cold in the winter.
I refer to these directions when grilling the leg quarters. I leave skin on & close grill while grilling the 3 minutes per side. Them move to indirect heat for 35 minutes and baste both sides grilling for the last 10 minutes.
Place chicken quarters on ugly drum smoker grill with the skin side up. Allow to smoke at least one (1) hour and flip chicken quarters over with the skin side down and smoke another 45 minutes to one hour until juices run clear and chicken internal temperature reads at least 170 degrees F. using an accurate thermometer.