About all that is left to check are the crown, bore, and chamber. Sounds silly, but are you ABSOLUTLY certain it is still a .30/06? I've seen rifles from time to time that were rechambered and never remarked as to caliber. Has the headspace been checked? Excessive headspace can cause inconsistant ignition. As posted above, how does the crown look? Any nicks or burrs? Have a gunsmith check it out. He can make a chamber cast to see if it is indeed a .30/06, he can check the headspace and the muzzle crown.

Don't throw it away, Savages are pretty easy to rebarrel, and shouldn't be terrible expensive to do so.