Sword and shield is the most logical loadout.
However, if you look at most heroes in fiction, they generally don't have a shield. Aragorn, Conan, Elric, Geralt, Red Sonja, Guts, Fingolfin, Martin the Warrior, Beren... these guys almost always use a longsword, and primarily wield it two-handed (as a longsword is generally supposed to be wielded). Heroes are thought of as dynamic and skilled, and shields are rather boring to most people.
People want their heroes to duck, to weave, to outsmart and outskill their opponents. Hiding behind a shield is practical but not dynamic.