i have broken in many savages and have had this problem a few times. First hve you gone through the shoot 5 clean, shoot 5 clean, till you have shot 50 or so rounds through it, if you are still getting alot of fouling try mly bullets and/or the tubbs final finish system, dont be afraid of what Mark had for experiences, i have used this product many times on my factory rifles, ususaly cutting my group size in half. Next i assume you are using hand loads, try moving out closer to the lands a little at a time till the bolt is hard to close, most of my savages have liked the bullet out as far as possible. Third gpoldblue is right about the bedding, but i have gone one step further, and have done some tuning with the action screws, start by loosening both screws, or all 3 depending on the action, then turn the rifle muzzel up and thump the but pad on the floor a few times to settle the recoil lug against the bedding block, then snug the front action screw just past hand tight, then tighten in 5inch pound increments till you reach 30 in/pds. After that just snug the rear screw/ screws and go shoot, tightening in 5 in/pd increments after each group, you should find a sweet spot where the group shrinks and starts to grow again. This will be where you will shoot the best groups, if it still seems erratic, have it glassed and try again.
good luck
Will