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Abe Lincoln did fight a duel in 1842. He was blamed by James Shields for an editorial. He chose extremely large broadswords, to improve his reach. I have heard that he joked at the choice of weapons "How about cow dung at 50 paces?" I personally haven't heard the cannon joke, but he might have used it as well.
Since Lincoln was challenged by Shields he had the privilege of choosing the weapon of the duel. He chose cavalry broadswords "of the largest size." "I didn't want the dβ-d fellow to kill me, which I think he would have done if we had selected pistols," he later explained. For his own part, he did not want to kill Shields, but "felt sure [he] could disarm him" with a blade. At six feet, four inches tall, Lincoln planned to use his height to his advantage against Shields, who stood at a mere five feet, nine inches tall.
The day of the duel, September 22, arrived and the combatants met at Bloody Island, Missouri to face death or victory. As the two men faced each other, with a plank between them that neither was allowed to cross, Lincoln swung his sword high above Shields to cut through a nearby tree branch. This act demonstrated the immensity of Lincolnβs reach and strength and was enough to show Shields that he was at a fatal disadvantage. With the encouragement of bystanders, the two men called a truce.