Scope Causing Accuracy Problems?

[ShtrRdy]

Disclaimer : I am new to bench rest shooting, learning free recoil. Up until now my scope shooting has always included a good cheek weld, resulting in line of sight through the center of the scope. Little to no parallax errors. When I started bench rest, my scope was/is in high rings to avoid contact with the stock. No cheek weld meant I was all over the place when looking through the scope, much parallax error, and hits all over the target.
You mentioned you changed to tall rings at the time you started having issues. Maybe same cause?

Does your scope have a parallax adjustment?