Ok , lets work this out .
Rifle -- Sako bolt action
Cal. -- 7mm08
Ammo - Hornady - factory
Un-sized will not fit to chamber or will fit VERY hard .
Will FL Sized cases chamber ok ?
Take a marker and index @ strait up , a new factory round , fire that round and then try to rechamber it as it was index'ed , if it will chamber then try it at 90* either way . this will tell you if your chamber is out of round .
Next try to solwly work a fired case in the FL Sizing die a little at a time till you get it to chamber with out a problem , this will need to be done in steps , size / check , size / check till it fits .
This doesn't sound to me like a headspace problem were the case is sliding back and letting the shoulder move forward too much but more like a mis-cut chamber .
Give this a try .
stimpy