I don't believe you really need a gunsmith unless you just aren't into doing your own rifles. I don't have a lathe or mill, but I took a donor short action from a new 308 model 11 I bought, built a gun around it and it will shoot a hole...again a hole. Not a group. It's not a perfect hole, but sometimes it's pretty close to looking like only one bullet went through. This is at 100. At 200, it's still easily under .5 inches CTC. These are my best groups, mind you, so take it for what it's worth. IE my "best" groups at 900 yards was 3" and 4". I guess the stars aligned that day because the next few were 6-7" if not greater.
At the same time, the only stock component was the action group. The most I could see doing to improve factory accuracy is disassembly down to the barrel, headspace it with a thicker precision recoil lug and retorque. Bed the action if possible and with pillars if not installed already. Torque tune your action screws, stone your trigger, and make sure the rest of the gun is right like scope mounts. You might lap the lugs, but returns are very marginal since savage uses a floating bolt head.
This probably isn't what your looking for, but it gives you an idea. Go to over to savage shooters if you want more info if you don't find what you need here. Those guys really know their savages