Elephants?
even the "combined strategy " u mentioned can be turned back.
elephants ca n be amok or killed with:

incedary pigs,
reduce their morale with arrows
AND
with solid phalanxes ,especially the "macedonian phalanxes" -armed with sarissas -the huge spears -(phalanx pikemen,silver shilds,bronze shields)
so,if u put them one behind the other the elephants are killed and turn amok in the first charge.!

long live the phalanxes!