I have several 700's all in .308
I have the LTR (20inch)the SPS tact(20inch), the SPS Varmint (26inch), a PSS (24inch) (Police Sniper System) and one that is a 700 M40A1 spec clone (Custom)
cliff note version: get the SPS Varmint, cut the barrel if you want, and get a used HS or McMillan stock = shoot MOA or better
The long version
For the money the SPS varmint is hard to beat. Yes, the stock is crap but you and find a used Mcmillan or HS stock and fix that problem.
Out of the box they will all shoot great IMO. The LTR is one of my favs becuase of the fluted barrel. Not only does it save weight but it comes with a HS lightweight tactical stock. The vented barrel also seems to flex less and makes the rifle feel like there is as much recoil. The LRT does cost more up front so it may not be worth it to you.
If you are looking for a rifle to modify a bit and dont mind a barrel longer than 20-inches get the SPS Varmint and mod it is you want. Replace the stock and have the barrel cut where you ant it and it should be a sub MOA gun.
If you want good rifle out of the box and dont want to do anything to it... look at the 700P, LTR in the Remington,s and dont count out the Savage rifles. Savage has some nice out of the boxe rifles as well IMO.
Best of luck