Even though my varmint rifle is a pimp remi, I would choose the winch. I have not shot the stealth, but I have shot the vsf. It shoots well, but I am sure that the winch will out perform it. I love the winchester action, adjustable triggers are nice. I have a remi 22.250 that has a carbonfiber barrel and a 2lb trigger. A leup 6.5-20x50 sits on top, with a harris brms bipod on the bottom. I got 2000 in it all together. They only made around 500 of these rifles I am told
I can only say I like my Rem 700, it was made in 1985, and the workmanship is to notch. The Smith that converted it to 308 for me said he had not seen a Rem built that nice in a long time though, so take that any way you want.
I have not personally used either, but are you set on a Remington or Winchester? I read an Outdoor Life article that compared current Savage, Winchester, Remington, Ruger, and Browning varmint rifles. The Savage 12BVSS walked away from the others when it came to accuracy and was also the cheapest.
I have read several other reviews that upheld Outdoor Life claims on the .5 MOA out of the box groups with the 12BVSS. But as I have not personally fired any of the above do not count me an expert.
Much like the mentioned ford vs. chevy debate, its a matter of personal preference. I highly suggest you head to the gun shop and hold and operate them both (without ammo). The accuracy will be similar enough between the two that its not a major concern.