Two Triggers,
You should shoot low with a lot of drop in the butt. Consistency is what you gain if you use a mount where the stock anchors under your cheek bone.
If you bend the stock up reducing the drop, I think you will reduce the pitch( I am not certain about pitch movement), helping you further hit high. Once you achieve the proper drop to gain consistency you can recut the pitch to your needs, probably not losing a lot of LOP.
I am not any expert, I am sure you'll get better advise from this board.
Another thing, cast might change too, when you bring the stock up, forcing you to shoot left if you are RH shooter.
What I do is I shoot the gun from 16 yards to a shooting plate and measure the average of the deviation from the aiming point in inches. For example, if you shoot 2" low and 2" to the left you have to move the stock at cheek 2 sixteenths up and to the right.
I hope this helps.
