It's your Savage Barrel!
I had a M110 left hand action in .30/06.
With factory ammo, it gave the same high pressure signs you are getting, along with higher than expected velocities.
Working up loads using 150gr bullets and IMR4064 I found it topped out at 2.5gr before my other .30/06 rifles.
Some manuals say 52-53gr gives maximum load with velocities of 3,000fps. My Savage topped out at 50.0 and 2,990fps, with a 22"bbl.
I've got a Savage M110 in .300 RemUltraMag, 26"bbl.
Manuals suggest 100.5gr of Retumbo under a 180gr bullet gives 3,300fps. My barrel gets 3,350fps from 98.0gr.
Also, be aware that the Accubond, Accubond LR, and Ballistic SilverTips are quite different animals. The Accubond has a bit thicker jacket which will cause it to run a tad bit more pressure.
I also had a Savage Axis that was sort of the same way. With a Hornady 65gr Vmax, it gave 3,700fps and 1/2" 5-shot groups with 42.5gr of IMR4064. Manuals suggested 3,550 from a 22"bbl.