For target work only, I'd recommend a Rem 700 SPS-Varmint in .308 WIn. I'd plan on replacing the stock (B&C, McMillan, etc), Leupy bases and rings and a decent Leupy or Vortex Viper scope.
Mine (a 700 SPS-V in a B&C A-5 stock, skim bedded, Vortex Viper PST 6-24x50 FFP MOA/MOA scope is perfect. This coming week, I'll be replacing the factory X-Mark Pro trigger w/ a 2-1/2 lb Timney 510 (w/ long sear). It's been a 1/2-3/4 MOA shooter with FGGM and my handloads...I expect results at least as good with the new trigger.
FH