Dont want to burst your bubble but if your rifle is a stock 6MM Rem. it probably wont stabilize those long 115 gr bullets. With the 1X10 twist in your barrel it is probably marginal with the 107s'. most of the guys shooting 107s' use a 1X8 twist. Unless your rifle is throated you are also going to have to seat them very deep.
Might want to get on benchrest.com and go to the 1000yd forum the guys there will get you pointed in the right direction.

Lefty