Savage 110 ba replacement stock 338lm

[Olisorel20]

Hey i do have a savage in 110 ba le and i would like to put the action in a lighter stock that suite more for hunting anybody have an idea of an option or can tell me if the 110 fcp or 110ba are the same cause i have found a few 110 fcp replacement stock but none for the 110 ba


Thanks for advice !