There isn't one. There are 'safe temps' for controlling bacteria like Salmonella, and parasites like Trichinella, but the alligator is already dead, and controlling for bacteria and parasites is certainly covered at USDA. In fact all USDA recommendations, of which there are very few specific to a specie, are based on only those two criteria. You may wish to render some of the fat as well to increase digestibility and edibility. Various sections of body fat may need Time & Temp to render, so time may become a large question depending on whether you are also controlling for infection. Some 'cuts' or organs, may be more preferential cooked or uncooked. Some may prefer a chemical cooking, or heat, others will be more educational to your eater by being served naked and raw. For eaxample, were you to cook the brain, you would probably not need to control for either a parasite or bacterial infection and would probably not exceed 130F. If you were to use some of the bile to flavor a blood sausage, you should probably cook to 160F or higher. In some cultures digestive tract and Anus is eaten. I would assume this meat would have a higher likelihood of needing to be controlled for both bacterial and parasitic infections.