Zeke, I've never knowingly used a rifle with a Bell & Carlson stock so I can't speak to them. The USMC M40 sniper rifle uses a McMillan stock and the US Army M24 sniper rifle uses an H-S Precision stock. Both rifles are modified M700 Remingtons. Both are a good compromise in profile that work very well for prone unsupported shooting with the sling for support and still work pretty well for offhand and other positions. I think McMillan sells the same stock as the M40 and lists it that way on their website. I'm sure H-S could point you to the M24 stock, too.
Both stocks tolerate having the barreled action in and out of the stock often while keeping their zeros. The M24, for instance, can have the action out of the stock, the day optical sight off, swap to the thermal sight and so on as many as ten times with no more than 0.5 MOA change in zero. That's pretty good in my book.
Lance