This is one of my favorite coyote guns, AKA "White Lightning"......
S/S 700, BDL repeater, 22" Rock Creek 8 twist in a Rem mag sporter contour, McMillan standard fill Classic stock, 3.5-10x40 CDS Leupold in Talley Lightweights. Weighs in at one ounce under 8 pounds. Chambered in 6 Dasher.
This stock weighs 30 ounces, so you'd have to go to an Edge fill to save some weight, around 6-8 ounces.
I don't know what a B&C weighs to compare.
Maximum barrel contour would be a Rock Creek, Remington sporter dupe, their #3, with a inch shank, no longer than 22", might save another half a pound or so over mine.
Put on a lightweight aluminum bolt shroud and ADL trigger guard will lighten the load as well.
It's a varmint gun, so I'd make it a repeater.
The last place to lose some weight would be the scope, but with this one at 13 ounces, I prefer the versatility of the full size 3.5-10x40, over a compact style, for the performance, over trying to save a couple of ozs. Plus, you can't save any weight over the Talleys, at 2 1/4 ounces, unless you wanna run open sights.....