Lawnboi
WKR
While I generally agree to the just buy more ammo approach, I still don’t think it’s the best way to learn to shoot longer range in the OP case.I agree on principle but "felt" recoil is subjective and impacted by many other factors. It can also be mitigated more economically than buying a whole new setup. A gunsmith could probably install a brake for less than $200, half the cost of even a decent scope.
The .30-06 is not a flashy or sexy round, but it is still one of the most versatile available and ammo is generally easy to locate online and in brick and mortar. There are very few animals that you can't target and kill with this cartridge with the wide variety, weight, and types of bullets available. In addition, +/- $2/round ammo is pretty common IME these days unless I'm looking in the wrong place. The last 2 boxes of .308 i bought were around $38- Browning 168 TMK and Hornady 168 ELD.
If money isn't an issue, then I'd tell the OP by all means go by another rifle. However, if money is a consideration, there's absolutely no reason to toss what he already has.
I’m well aware of the recoil difference. I was taught to shoot on a sub 10 pound 3006, Iv shot with many people who were taught to shoot with lightweight 3006 or similar. It dosnt work. If shooting precisely at 400 plus yards is the goal, it takes time behind the gun and building good habits. I don’t think there are many who can build good habits with something that recoils like a 3006 shooting a 180 grain bullet. 20-30 shots out of my 11lb 3006 supressed is about all I care to do in a sitting. Yes it’s doable, but I’d still dump the savage and hit the easy button.
Re the brake. I don’t think a brake has any place on a mid range hunting rifle. They lessen felt recoil, but increase blast and concussion, and Iv seen the latter create more of a flinch than the push. Shooting a loud braked rifle for me requires much more mental focus that shooting bare muzzle or suppressed. Not to mention hunting with the thing. Many think a brake is the answer for the range then take it off for hunting, thats a backwards way of figuring out if your prepared for the shot as well.
Ammo prices suck now, but the OP could order a case of 6.5 Hornady match tomorrow and be on his way. I bought a bunch of factory ammo for the 3006 I had built last summer for the brass, it took me 3 months to amass 120 rounds, every place I ordered or bought it limited me to a couple boxes at a time. All the ammo is expensive. Getting the most out of that ammo is important.
I did similar to the OP when I wanted that one rifle to rule them all and bought a 300 win mag, figuring it would do it all and be okay to learn with. That was a mistake and a waste of money when it came to actually learning to shoot.