the way it is normally used as a sorted-to-nanometer-sized-powder precludes it acting as a conductor on it's own
The same could be said of many fillers, yet I've been able to find TCs for others. If nothing else, ATH occurs as a mineral (Gibbsite), so the TC of that could be given, to compare with quartz, marble, sand/sandstone, and other fillers which are powdered before use.
It is also an ingredient in insulating paints along with Aluminum Sulfate and fumed silica (silica spheres, etc.) which is not a good sign except the paint is nearer a clay thats troweled on then a fluid that conforms to a mold.
I think it's used as a fire retardant in many applications, where its high TC is a drawback rather than benefit.
What is keeping you from deriving it yourself?
Lazyness, not having any ATH to hand, and the belief that
someone already knows it! :)