The bench that you're shooting off of sounds good. Similar to what we have at out range. Those rests should work as long as they hold the rifle steady and allow you some movement to adjust your point of aim.
Everyone has a different system when shoot at the bench. I guess, what you do depends on how you shoot in the field while hunting. Me, I allow the rifle to free recoil. Some here may disagree, but that's the way I do it. I put the rifle on the front rest and the stock in the rear bag. I use my left hand to squeeze or release the rabbit ears on the rear bag to adjust elevation. I squeeze the trigger with my right hand. When I hunt, I'm usually in a blind and rest the fore stock on the back of my arm and allow the rifle to free recoil. I'm sure that if I held the foreend tight my point of impact would change. If you're one that holds the foreend, my system won't work.
The other thing that needs practice is trigger pull. If you know when the rifle will shoot your shots will be off. If you squeeze and keep increasing the pressure and the gun goes off and surprises you it will be a good one.