Off the top I would suggest a Win. Stealth ll, get it skim-bedded and the trigger tuned and if the 'factory-rifle gods' smile on you, your objectives will be met. Same goes for a Rem. 700 VS, VLS, or whatever combination of "V"s and 'S"s Remington is using this year.
The Win. is easier to load, the rounds go into the bigger magazine area far better than with a short action Remington - otherwise the two rifles are very similar in ergonomics and accuracy. Win. has a three position wing safety, Remington has a two position button - blond or brunette deal there. Win has a simpler trigger, if a good smith redoes it they are excellent. Rem. has a good trigger but inter-relationship with the safety requires a knowledgable smith or they can be very dangerous - limitation of trigger pull weight, can effect safety operation - push off safety and rifle fires, drop bolt handle and rifle fires - not good in anyone's book.
We have experience with about thirty of these rifles now, no idea which is inherently more accurate - they are both very good rifles. I believe you pays your money and take your chances. Either model does definitely benefit from skim-bedding and trigger work since not many guys can shoot good groups with seven pound triggers that creep and move with excessive overtravel. Both are using HS Precision stocks, nice fitting and pretty tough but the aluminum bedding block is a marketing feature, more than an accuracy aid.
Good luck, remember to plan on spending almost as much (some guys suggest at least as much $) on your optics and mounts if you really want to get the most out of that rifle. Then buy a bunch of 168/175 grain bullets, a bunch of Varget, lots of Winchester brass and primers and start shootin as much as possible.
I would send whichever rifle you buy to a good smith anyhow and get them to rebed and tune the trigger - definitely worth doing. After you shoot-out the factory barrel you can consider moving up to a GA Precision type rifle.