Ya know, I take back what I said. Since you are light in stature, you probably have a short draw length also. This is probably the reason for wanting to change the stock. You maybe money ahead by getting a rifle that already has a shorter stock.
The savage Light Weight Hunter may be a good option. This rifle has a length of pull of about 12.5 inches and only weights 5.5 lbs. They are sharp looking rifles too. Street price is a little less than $900. That is probably better than a $600 rifle with a replacement stock. It would be a very good all day carry rifle in the woods. Get it in 6.5 Creedmoor and it would also be capable out to 550-600 yards.
Hornady makes great ammo for this round. They have 129 gn Superformance ammo that really packs some punch and 140 gn. A-Max match ammo that can be stupid accurate out of this rifle.
Savage Arms