I do not have any expensive target rifles and the closest I can come to that is owning a cheap Stevens 200 bolt action with a 26 inch heavy barrel in .223.
What I do know from collecting the British Enfield rifle is this:
A military rifle is tuned to standard issued military ammunition, and on the Enfield rifle it is controlled by up pressure at the fore end tip. If you loose up pressure on the fore stock you will have vertical stringing. If the butt stock becomes loose you will have horizontal stringing.
I do not have BoydAllen's experience and knowledge but I would like to make two sugestions. :
1. Mix a little Viagra with your powder and see if it stops the barrel from flexing.
2. If the barrel remains stiff for over four hours DO NOT call a gunsmith.
I have seen this someplace before, I think it was an early 1960s TV program............
Now I remember.............................
There is nothing wrong with your rifle............
We will control the horizontal. We will control the vertical......................
We repeat: there is nothing wrong with your rifle............
You are about to experience the awe and mystery which reaches from the inner mind to — The Outer Limits.