There are wood workers here and some who restore stocks like "swamprat" who can offer suggestions.
What i do is take offthe stocks and clean them with "simple green" I scrub them with a toothbrush around the checkering. I then get water hot and quickly rinse them off and immediately cover them with a cotton cloth or papertowels and soak up any surface water from the stocks I make sure they are dry. then I take a special wood oil (i have to look up the name) its from wisconsin - and i put some on my fingers and rub into the wood It does not take much I use another toothbrush to go over the checkering with the oil to make sure it is uniformly distibuted. The I use a soft cotton cloth to rub in down good. They always turm out great.