If I were doing one within those parameters I would build a 7X57, 8X57 270 or 30-06 on either a GEW or KAR Mauser with nice fancy wood, or just buy a Kimber or Winchester.
If you build on a Mauser you would get your choice of stock styles and the thing would be fit to YOUR specs. Good trigger, good barrel nice wood and so on.
For $1200 you would not get fancy checkering or engraving.
At $1200, probably the "nicest" factory made rifles available would be the M-70 Winchester or the Kimber, but I am unsure of their prices these days.
There is a kind of "gap" in the world of bolt actions in the $1200-$1700 range in my opinion. After you spend $1200 I don't see that there is much available for any extra money until you get to about $1700 You can spend extra over $1200, but you don't get a lot for it until you get to about $1700.
At $1700-$2500 the world really starts to open up.
At $2000-$2500 and up you start to get goodies that make a rifle quite special. Rust bluing, fancy sights, barrel bands, custom checkering, engraving on floor plates, inlayed medallions and so on.
To be 100% out front, I have not priced factory rifles in a while. I don't have a wholesale/retail store. So I am only dealing with custom work for the most part. So if the readership would like to correct me on my numbers, I'd be happy to learn myself.
But for factory rifles, what I see in the Win M-70 and the Kimbers is very hard to beat within the price range.
At lower price is the Savage. To my eye, they are a bit homely, but let no one say they are not well made or accurate. , Out of the box they shoot VERY well. The long shells eject better then the short ones in most cases, because the geometry of their basic 110 action was made for the 30-06 shell. The plunger ejector is about maxed out in it’s thrust to make a 308 length shell jump from the action with much force, but they still work. The only ones I have seen that were troublesome were made for 223s 30-06 length shells and full size magnums (7MM Rem. 300 Win and so on) all work fine.
SAKOs are very good, but higher priced then what you are looking for, and I can’t say I see they are in any way “better” then Winchesters or Rugers.
Weatherby’s get good reviews too there days. The Nicer Mark 5s however cost enough to make someone look at a custom build instead. The lower priced Weatherby’s are good, and from what I am hearing are a good value.
Anyway……….my 2 cents worth. May be worth that much too, ----if you are allowed to make payments ---- over 10 years -------- and with no interest charged.