I just started shooting 1K paper competitively three years ago. As you have correctly identified, I too recognized early on that tracking was key. I modified my stocks to make the butt and for-end parallel. That helped immensely, but I still wasn’t competitive.
I agree with Mike and Dusty. I think the keys are:
1. A stock designed to track straight with a parallel design.
I eventually ended up with the Wheeler LRB stock. It has a 4” forend and adjustable rudder so it is stable and can be adjusted to track perfectly straight.
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Note the JJ rest, 4 inch forend on the stock, bags that fit the stock properly, the port level ammo holder and even the weights which I put on the rest after it is set up to ensure no movement.
2. A smooth action that is properly timed with no cock on close so you don’t disturb the rifle in the bags.
I wound up with a BAT B with roller cocking piece. Then Alex tuned the action to make sure there was no cock on close. That is important. When opening the bolt, you can offset lateral forces by placing your thumb on the left/top of the bolt shroud while opening the bolt with your index finger. I can close my bolt on a loaded round with one finger.
3. A solid front rest and rear bag that property fit the stock.
You need a stable heavy front and rear rest if you want to make sure it doesn’t move. The bags need to fit the rifle to the point that you can’t move the rifle left or right while it’s sitting in the bags.
4. A cartridge choice that minimizes recoil and maximizes accuracy.
Many out there, it’s just a matter of preference. Whatever you choose, I would bump the shoulder to the point where the bolt, with the firing pin removed, drops on its own with zero pressure. This will ensure you minimize rifle movement while closing the bolt.
I run every sized case through the rifle prior to loading to make sure I have no surprises on the line. As they work harden you may have some that don’t bump enough.
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5. Focus on shooting form at the bench.
Even something as small as pushing the rifle back to battery with your shoulder versus your hand can make a difference.
Good luck,
Dave.