I think maybe Zelda should go English longbow. I believe that's the bow commonly associated with this sort of shooting.
Why? The Links cover the sort of sniping style of shooting, a more linear and gravity-affected archery form and the Pits cover a more free-form style of shooting. Zelda going either of their routes work, but Zelda shooting like that would be another style, one that's kind of like an anti-air and calculated style of shooting befit of the holder of the Triforce of Wisdom.
Obviously, not going to be as extreme as Hyrule Warriors or Warriors games in general, but maybe Zelda could work her "Silver Arrow", let's call it that to not make it the same as "Light Arrow", her Final Smash. Light Bow could work, but... Anyway, functionality is that perhaps Zelda could hold the button down to charge/alter the distance her arrows travel. Zelda shoots just 3 up, they fall down, and rain hell upon people. She could have an option to fire straight ahead by tapping neutral Special... maybe a burst of 3 arrows or just 1. In the air, probably should restrict her to shooting downwards like Sheik's Needle Storm since let's say even with set knockback, it could still be stupid enough that Zelda can kill off the top in the weirdest of ways.
Yeah... This is better left in the Zelda so- a PM or something. Seriously, I don't get why they didn't give her a bow for a Special, but a Spirit Tracks-only idea... Zelda's as much of an archer to Link like how Ganondorf is as much of a swordsman to Link. It's getting really close to being a part of Zelda's character as an archer and an elemental one or a magical one... Funny enough, Ganondorf would be the magical swordsman and the warlock to Zelda's magical archer and sorceress to Link's jack of all trades, slowly being less magically inclined. I swear, if Zelda ends up using a bow in Zelda Wii U and perhaps even Link's mentor later in the game, it's really going to question why the hell Zelda doesn't have a bow in Smash, but a random Spirit Tracks reference better left to Toon Zelda.