In my opinion, both make decent stocks that are quality, and are definitely not flimsy 'tupperware' like the cheapest Savage stocks.
I have three true H&S stocks on M70 Heavy Varmint Winchesters in various calibers and like them a lot. Also have a FN Patrol Bolt Rifle (think of a M70 made by FN) with a stock made by Hogue for FN that has an aluminum bedding block and has an aluminum skeleton from the buttstock to the forearm. None of these are cheap "Tupperware" stocks They are solid, stiff polymer stocks. I also have a Rem M7 in 7mm-08 that has a non-aluminum bedding block stock that is made from Kevlar and fiberglass. It is either a Brown or H&S and it works real well also for a light rifle.
In my opinion, B&C does make some very decent polymer stocks that look and feel like an H&S. In fact, I think Remington equipped early PSS with H&S stocks but switched to B&C later to reduce costs. They are decent also. Either should work fine for you, but the H&S might costs a bit more. Look for used stocks also.