KC
Getting a scope that has a parallax adjustment is the fix. Dont ever think you can put your head is the same place on the stock. Aint happening. Why do I say that ? For several years I have been teaching LE precision rifle shooting. In helping/making them understand how much parallax can be a factor, we do a test. Like this.....
We all know we can put our head in exactly the same place on a stock, even the STAR stock which is more adjustable that any on the market. But have we ever demonstrated it ? NO WE HAVE NOT !
Here is how the test works. I use a very heavy shooting table with a 1/2 inch steel top. Bolt on a large vise. Clamp the rifle in the vise so it cant be moved. When using the STAR stock, I clamp in the action area, plenty of strength there. Let the shooter set behind the rifle and adjust the stock any way he/she wants. Lock down the adjustments. Then take a Sharpie, put a small mark on their cheek and another on their temple. Get them back on the the stock, comfortable, then use a dial indicator with a magnetic base and zero each on there respective marks. Have the shooter move off the rifle. Then back on . Use their cel phone to take photos or else they wont believe how far off they are.
The standard bet is $200 if they can do this 5 times in a row. I had one shooter who got on the marks 2 out of five. The rest never get back. I made enough money from these bets to buy a pickup from my brother.
This idea of getting on the stock the same way every time is great until you have to demonstrate it.