Rabbit has a slightly sweet flavor and pairs really well with plum sauce, but any of your favorite bbq sauce will do. Because rabbit is lean and lacks fatty skin, you’ll get fewer flame ups from fat catching on fire. A little char is nice, but the key is to put the rabbit on a hot grill then turn it down to cook low. Rabbit is best cooked on the BBQ grill whole with the ribcage split and flattened vs cut up before grilling: the loins and thighs can really dry out if cooked parted up first. Grab your cleaver to chop the rabbit up into servings after it has rested.