Not chilly around here at all, it's just that this time of year the weather's getting nice and guys are anxious to get out and do some shooting so a person that could answer your question probably hasn't read it yet.
It's hard to say what kind of accuracy you'll get with any factory gun as some do great and some don't. You'll know what kind of accuracy you get when you try yours out.
A lot of factory guns with some tender loving care and load preparation will do very well and you may be happy with what your new gun does, especially with loads worked up for that particular gun.
The terminology of "Sniper style" around here may not get you as many responses as you might get if you referred to a specific brand and model of stock. Just a suggestion..
Pac-Nor is a brand that a lot of people use but I'd suggest you try the "search" feature and see what that brings up. You'll find a lot of discussions about barrel brands and preferences.