A .308 can be a darned fine round for precision shooting. Based on your powder & bullet selection, I'd guess you may have been reading some of Montana Marine's posts on shooting heavy bullets from the .308 Win. Shane knows his stuff with those heavy bullet loads.
Most of my shooting with one has been with 155 - 175 grain bullets, loaded over Varget. I'll also dip down to the 110 - 130 gr bullets for varmint shooting, and occasionally load something in the 190+ gr range just for the heck of it.
Lapua brass is excellent, but I've also loaded excellent ammo in good old Winchester brass.
Switching to an in-line bullet seating die was very important to achieving accuracy downrange.
Nice looking rifle. Don't care much for the scope mounts... Too high for this fellow!
Every factory Remington I've run into had a very long leade or free-bore. Don't expect to be able to load all bullets out far enough to touch (or even approach) the lands, and still work through the magazine. Doesn't seem to hurt accuracy much though. I shot fine groups with the factory barrel.
The .308 is kind of the workhorse of the precision rifle stable. Not flashy, but it gets the job done very well. Took me a while to warm up to it, but for the past 15 years I've shot more .308 than all the other rifle cartridges combined - except the .22 long rifle of course! Excellent barrel life, modest recoil, easy to develop very accurate loads. Lethal on deer sized game at longish distances. Versatile enough to deal with varmint hunting, or big game. It's got a lot going for it.
Here's a link to a fine article on loading the .308 Win:
.308 Winchester Cartridge Guide
Welcome to the .308 Win club! Regards, Guy