If you want unbraked I would go for a .280 Rem or 7mm SAUM. The SUAM would probabaly only be found in a Rem model 7. I think those are going to be the best terminal performers with the recoil parameters you have.
I put together a .243 Win for CAD$1275 last year.
Rem 700 DBM (chrome moly)-$515
Voortex Viper PST 2.5-10x44 -$700
Leupold rings/ bases $60
Prices in Canada are way higher than in the US, so i think that you could upgrade on the rifle a bit and still be under $1200.
With the above mentioned set up I could hold MOA to almost 800 yards, while not bench rest accurate, it was within Minute of Coyote
I have never liked savages, they arent overly pretty, but I am becoming a beliver.