Since this is your first precision rifle, I will humbly suggest you follow a similar path to what I did.
First, pick up a SPS Tac in 308. Play with it for a season. The scope isn't terribly important - this isn't going to be your last scope.
Next, replace the trigger. Holy balls, your groups will close up.
Next, replace the stock. Not a holy balls thing, but you will enjoy the feel of it a lot better.
Time to replace the scope! I went with a SIII 10-50, it's a great scope, but I am not shooting the private bits of a flea at 1000 yards. If I hard to start over, I might go with a fixed 10x, or maybe a 5-25 Nightforce mentioned earlier in this thread.
Finally, replace the barrel.
At some point in there, hopefully you started reloading and experimenting with different bullets and charges. By the time you're done with all this, you have only the receiver and bolt left. You know what you like, and what you don't. Either keep and/or modify the rifle, or buy something like an ATRS custom job, or a PGW Coyote.
The reason you want to do this is to learn. You'll learn a lot more fixing up a decent but not great rifle, than just buying a 7k$ rifle. Kind of like fixing up an old car vs buying a BMW.
The Rem700 platform is great because of all of the aftermarket support you have, lots of choices. If you don't want to modify your rifle, Savage makes some nice target rifles as well that are supposed to be better out of the box, in a similar price range (little more $).
Have fun!