Welcome to the forum!
I have never heard of the 11bg, so I can't say for sure if it will work but the bolt spacing is the part that really matters for a semi drop in fit. With a bit of ingenuity most things can be "adjusted" enough to get the job done but the results may not be pretty. Hopefully one of the experts here will chime in and let you know for sure.
If you have a stagger feed short action then any other stagger feed short action stock should work as is.
The .358 is an interesting caliber and I have thought about building one many times myself, keep us posted.
Bob
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