Don't rule out getting an adult size rifle/chambering, and then putting the barreled action into a youth stock with reduced loads.

I bought a Marlin XL7 in .270 Win for my petite grand daughter a while back. Ordered a Boyd's laminated stock with Decelerator recoil pad at 12.5" LOP. With good fit, a good pad, and the added heft of a laminated stock, she had no issue shooting full power 110gr hand loads. She is never going to be a "big person". However, the factory stock is in the safe with her rifle if she ever wants to go the full size route.

Midway has two different factory reduced recoil loads for .270's in stock at the moment. Would bet that there are same or more for .308's and .30-06's if you look around.