Just picked up a new Marlin 336Y for this very purpose - it is the "youth model" but has a 16" barrel with a 12.5" lop and fits me fine... It was $408 out the door. Going to just add a sling, buttstock shell holder and a Skinner sight. MAYBE add an XS lever rail for a red dot, but dont think so.
Just can't beat a 336 for the price/value ratio.
And the best part is that .30-30 is still in stock EVERYWHERE.