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.
Total cooking time for a chicken leg quarter is 45 minutes to an hour whether baked, barbecued or fried. Thicker hind quarters take longer than less meaty specimens. Cooking until an instant-read thermometer inserted in the thickest part of the thigh registers 170 degrees ensures that they are done.