Buy a rifle that doesn't have problems.
I've been finding more consistency with a properly cleaned barrel. I saw a Gunwerks video on the matter and thought I would give it a try. I clean my barrels down to the metal. I use wipeout patchout and patches only. When clean I apply a very light coat of oil to the barrel. This is supposed to acts like fouling from a previous shot. The Gunwerks idea was that with using this technique, the first shot will always be part of the group. I've been finding this to be true with 10 shot groups from a clean and cold bore and any subsequent groups. This has been working well for me, you might consider giving it a try.
Top military sniping teams keep their bores fouled since a large group will by definition fired from a fouled barrel!
You should definitely properly clean your barrel, but if you want to have top cold bore accuracy, you need to fire 20-30 rounds after cleaning and keep it that way.
A cold bore shot at a small target at short unknow range is such a feat that barely 10% of top teams will even attempt it.
(Shooting at a tennis ball held by a string at unknown range from 100 to 200 yards with light/medium wind from a field position).
I have found there's a big difference between a clean cold bore shot, a fouled cold bore shot and a freshly fouled cold bore shot.
I think any decent 1 moa rifle or better can do that from a recently fouled cold bore shot.
In the early days of F Class we were not permitted a blow off period to foul our clean barrels at the start of the day and I learned to bang a few off into a ditch somewhere on the way to the range each day.
If you clean a barrel today and look down the bore with a bore scope in 6 months, you will find white oxidization heavy at the muzzle and gradually fading toward the rear. That oxidization will affect POI.
Thankfully a blow off period is pretty much standard for F Class these days, but the same practice can apply to almost any shooting situation.
Clean it well... shoot it a few times... shoot it the same or next day.
If you leave the cleaned rifle sit for 6 months, clean it to remove oxidization before you shoot it.
Exactly the point of thread...
That's what I am looking for....but do not want to spend more than $2500.
Then avoid cheap rifles with poor build quality and QA/QC - Savage, Remington, etc. You may get a good one, very good chance you will not.
Get a Tikka or a Howa. Stick it in a good chassis or stock of your preference. Have a competent gunsmith bed it (some chassis don't need bedding). Ensure that the stock is free floating. If you want to go the extra mile, stick on a good barrel (Krieger, Bartlein, Benchmark, Brux, Rock Creek) spun up by a competent gunsmith.
Interesting about oxidation. I store my rifle in a pelican case (airtight) with dessicant packs. I did not get to shoot it for 7 months. Came home, went to the range and all was as it should be.
What rifle you got?
Why not just have it rebareled with a premium brand barrel?