With it being a savage you have some more option. I just parted ways with a very over built Savage, you don't have to tell me about them.
The 2 best Savage guys are Sharp Shooter Supply and Stockade, both hae nice stocks also. Centershot rifles will work a savage for you also. Kyle at Scheels fitted my barrel and inletted my stock on my savage. Northland supply and Sin arms make and stock barrels.
Sounds like a nice project. I would get a barrel and the few tools you need and change the barrel yourself. If it is not as accuate as you want then have a smith true up the action. Check out Savageshooer.com