But if the head is still living, then it's feeling pain, the body wouldn't, it's just meat(no offense) but the head would be the part feeling the pain. Not saying it IS still alive for an hour or not, but if it is possible, then the brain is still intact.
I chose pithing, because if it's done correctly, it destroys the brain. However, if you aren't sure you can hit the brain itself(unfamiliar with the exact location in the skull) then bludgeoning with blunt force to destroy the brain would be the second choice.