Well, if we're opening it up to youth-size single shots, not just take-down rifles, there are lots to choose from with a street price under $200: Crickett, Chipmunk, NEF Sportster (as short as the rest with 16" barrels, but with a 20" barrel), Marlin 915 (blued or stainless finish) and many more. The 915YS with a stainless finish and hooded fiber-optic front sight would be a great choice, IMHO.