There are a few little tricks.
I use a piece of tape on the stock so my face is always in the same place.
I know that butt placement is important, I don't have a trick for that ... anyone? Buehler? I'm okay at this but I know that I could be better and I need a clever indexing method.
In my case, thumbing the tang screws me up so I make a fist with my thumb on top, rest it alongside the stock, hook fingers 2, 3, and 4 in front of the pistol grip and pull back a little, and lay my trigger finger straight out alongside the stock above the trigger.
I have gotten better at checking the scope parallax. If you have it right then don't worry. In my case, I sometimes forget to set it so when I put my head down on the stock, I wiggle my head around a little to see if the cross hairs move on the target. If they do then I unwind, reach up with my left hand and fiddle with the parallax while wiggling my head. When the cross hairs stop moving, the parallax is right.
Left hand is important. I am a bag squeezer so I either squeeze the bag for my vertical or I just lay my hand flat on the bench under the butt stock just in front of the rear bag.
Breathing is also important. Do not hold your breath too long before taking the shot. If you find yourself feeling rushed or short of breath, disengage, get your breathing under control, and reacquire. Many 4-and-1 targets come from "just a couple more seconds!!!"
If you start reloading, some specific charge amounts will show vertical. You may have to change powder type, increase or decrease the charge amount, or change seating depth -- usually increase the charge but that doesn't always work.
If your weapon recoils a lot, you may develop a variety of mechanical issues. Consider installing a brake - talk to Harrell.