Just for reference, this "flexing" occurs in my 99 .308's not with a hot rod load. 44 grains of 4064 with 150's gave best accuracy across my M1A's, Bolt Rifles, and the Savage 99's and became my "do it all load".
44 grains of 4064 is not a max load for the .308, 48 grains is. Most would consider this load moderate in the factory loading range, not hot.

The bottom line is that the Savage 99 functions best with ammunition with less pressure/intensity and that boundary needs to be have attention when handloading.