Ultralight will quickly get heavier with a good scope and mounts, for me it would get a bedded stock from McMillian or B&C, by that time weight would be about perfect. The savage barrels are copper and carbon mines but often shoot like they are match barrels
Got a 12BVSS that shoots 2's simply skim bedded, 308 tactical that will stay in threes if I do my part. Both factory barrels, but a good criterion pre fit from NSS also brings accuracy with ease of cleaning. They are putting their best barrels (proof carbon) on the ultralights and truing the actions as well. If you want accuracy go with one of them IMHO