I shoot out to 1K ( and beyond) routinely with my SPS Tac using 168 SMK's with a 1:12 twist, 20" barrel. Whether the projectile is supersonic or not ...they still ring steel. Probably couldn't do this with a bone stock rifle. Good glass, quality stock or chassis, and of course...good skills are necessary. Even with quality add ons, reading wind, etc. makes 600 to 1K a challenge without a LOT of practice.
There is a huge difference when you step off a target @ 1K, and if you have to RANGE the target @ 1K. Without a subtended reticle in your optic, whether using hold over or dialing, if you don't know the range, you will miss with your first shot. A duplex hunting reticle is not what you want.
My best advice is get the best tactical scope and stock you can afford. I would look to Vortex or SS in your price range.
The nice thing about a Savage is you can re-barrel without a lot of hassle. The bad thing is even bargain aftermarket stuff is not as plentiful as Remington.
I don't see many Choate stocks at the various matches I attend, but, I see guys having good luck with them on the various forums. The guy's I hang with are snobs when it comes to add on gear, so I'm not surprised the Choate doesn't get much love.
The rifle: AICS chassis with NXS 5.5 X 22: