At the conclusion of the Battle of the Pelennor Fields a list of notable casualties is, er, listed. In that list we find that
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Duilin of Morthond and his brother were trampled to death when they assailed the mumakil, leading their bowmen close to shoot at the eyes of the monsters.
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This appears to be the best tactic the Gondorians had found to counter the mumak, and it appears to have been effective, seeing as no foe escaped
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except to die or drown in the red foam of the River.
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I'm not sure if that is a reference to only the foes within the Rammas, but none of the Haradrim survived, so I presume that means the controllers of the beasts.