Nerf's Rebelle Heartbreaker Bow (part of the wider Rebelle line of action toys marketed to girls) gets pretty high marks from its owners, and promises a dart-range of 75 feet. I confess that I'm conflicted about this -- there's nothing inherently masculine or feminine about Nerf toys, their gendering is already a synthetic creation of the company's marketing strategy.
That said, there are unquestionably girls who feel like action toys are not for them because of normative gender pressure (to which Nerf is a contributor, of course), and the existence of toys that are intended to allow them the space for imaginative play without worrying about appropriate gender norms is a good thing. Especially since the Rebelle toys are not just "girly" -- they're also cool, as well-built and well-designed as the "boy" versions, the perfect imaginative accessory for your little Hunger Games fan.