Must be an unusual case where a bow drawn 26 inches is wanted at only 12#.
The kids bows I have made have had draw lengths of18 to 22 and have launched their light arrows with authority. The are small, but are not toys. The bows have been 48-56 inches long.
The 1/4" shafts I make for them weigh about 100 g at 20" long (This is without points, which add very little, as they are pressed steel.)
Is that 200 g arrow going 160 fps out of a 12# bow a typo or are you not the real Badger?