Of the non "bull barrel" channel stocks that Boyd's offers, Which stock type will have the most wood on the sides of the barrel channel once opened up?

Boyd's does not offer much with regards to the left hand Savage centerfeed action. The stocks that they do offer for the left hand, short action, centerfeed come with a "factory barrel channel".

I am wanting to use a Boyd's stock that will not look silly with regards to how "thin" the wood is on each side of the barrel channel once the stock has been sanded open to accommodate for the varmint barrel.