Hmmmmm,
A 308 Win won't cut the mustard @ 1K, on a regular basis for elk and such.
A 300 Win Mag will definitely cut the mustard. The problem with the 300, or at least something I don't like, is the belted case.
Here's what I did to show one end of a reasonable price spectrum.
Dad's old REM 721 action. Trued etc and bolt work, 30" #7 Lilja bbl, with a Defensive Edge brake in a Bell & Carlson carbalite stock. Including dies price was right at 1700 bucks. I added a 350 dollar Super Siniper scope w/ rings and shade. 1/2 inch accuracy was guaranteed at 100 yds. It does better than that.
See the thread below this one. The stock is completely a DIY project with a bit of painting help from a local body shop. The B&C stock is great for a sporter weight barrel but was a bit limber for that long heavy tube.
The next thing I did was take a 338 Win Mag and rebarrel w/a 338 RUM sporter barrel. The original rifle was $495. No action truing or bolt work. Just square the front of the action, add a Tubbs recoil lug and fit the new take off 338 RUM sporter barrel and swap the brake form the Win Mag. About 200 bucks.
What I'm going to do next:
Purchase a savage or stevens at what ever good deal comes along. I'm figuring about 350 max. Barrels can be easily swapped. Some one makes a 300 RUM barrel for them. If you know what you're doing the barrel swapping is a DIY project. (Carefully though
)
A little do it yourself pillar and skim bedding and some trigger work unless you get the accutrigger and you are most probably well on you way to a 1K rifle.
A 7MM RUM is also a good choice.
If finances are limited in any way, Id do the shaving on the rifle end. The apply the money to a top end tactical scope. You'll be needing some clicks. 10 to 18 max power is plenty of power for the glass for 1K shooting.
I'd take a look at Leopold, IOR, and Nightforce tactical scopes.
For rings I'd go with Burris Signatures with the inserts to get the MOA you need. The correct scope will usually have enough MOA to to the job. The SuperSniper turrets would take my well beyond 1200 yds then even more with the proper inserts in the Signitures.
Jsut my tho'ts.........Also I think that the 338 is better for long range game taking than the 30 cals expecially with the 300 SMK bullet. Its a first class wind fighter. And its even a fun paper puncher with a good brake.