The SPS stocks are injection molded crap and aren't worth putting any work or money in , replace it . The forend is so flexible that shooting of anything with too much forend pressure causes it to hit the barrel and throw fliers . B&C , H&S Precision , McMillan , and Manners are all good options .

The new X Mark trigger is adjustable to a fashion but while you can get an acceptable trigger with it you'll never get a good trigger with it . The best bang for the buck in 700's is the Shilen trigger in my experience . It's a good reliable trigger at about 1/2 what a Jewell costs . I've got both and wouldn't hesitate to buy either one again .

I run the Harris bipods with the KMW podloc's on them . The Atlas is a really nice piece but once you get all the extra pieces for mounting and hieght adjustment your in it about 400 bucks , its not worth the extra cash compared to the Harris .

The 30-06 SPS has the hunting profile barrel correct ? The thin profile lighter rifles are harder to shoot well on a repeatable basis because of the recoil being more . This makes the rifle more unforgiving of errors in the fundamentals . This doesn't mean they can't shoot well just that they are harder to do it repeatably .

The scope mounts and rings are a very important part of the mix , especially on a harder recoiling rifle , if the scope doesn't stay where it is suppose to be you'll end up with shifting zero and tracking issues . Seekin's and Badger Ordnance are probably the two go to places for ring's and mounts . The Burris XTR rings are really good rings for the money also .

06 match ammo is available from Federal but your going to have to search for it so this is going to be something that you'll need to load for . There is tons of hunting ammo in 06 out there but it typically is going to be 1 MOA ammo at best and the good hunting ammo is usually as much or more money then match ammo .

Bipod bounce is a technique issue and not a gear issue . There is no reason that the rifle should not shoot as well with anything that is used to support the forend . Proper technique with a bipod is about body position and prelaoding the legs .

Good mounts and bases and a stock would be the first things I'd work on and then the trigger . A bad trigger is easier to work around than an inconsistant stock and shifting zero's .