Since a black dragon disintegrates you if you touch it, you should also disintegrate if you try to do anything with its corpse, like eating, kicking, or tinning it. If you interact with the corpse by doing something where gloves or boots would logically touch it, those disintegrate first instead.

If you somehow manage to acquire a tin of black dragon meat, you can eat it safely to get disintegration resistance, on the general principle of tins that the dangerous part has been removed from the food.