Northland Shooter's Supply is out of the 7 mag in 112BVSS, but they still have the acitons. I'd pick up an action, heavy duty recoil lug and a nice Lilja or whatever barrel in the caliber you choose, then put it all in a B&C A2 style stock and skim bed it. Put a Defensive Edge adjustable cheekrest on the stock and you're in about 1K and it should shoot nasty good.
Jim at NSS also told me he would take the barrel off of one of the 300WM 112BVSS guns he does have in stock for you and sell a "stocked action" if that is more appealing. Then just mount your barrel and shoot lasers.
A custom rig at an affordable price. I am in no way affiliated with NSS or B&C or DE, this just seems like a logical combination that will shoot good for years and should outshoot the various Remmys in stock form including the Sendero. I've seen a couple Senderos shoot dimes, but a couple that wouldn't also.