Question about stock & the barrel and resulting grouping, and suggestion on how to improve them

Thank for the suggestions, and I think I still need to work on improving the muscle control on gripping the gun, or rather know how to let it go in a controlled manner, as quoted from a my buddy:" muscle are less consistent so either you learn to control them or just fully relax them". I chose latter, and it had promising result.
I caved in and bought a torque screwdriver set from Princess Auto Store solely because because i enjoy that style of handle instead of the thick line Wheeler and similar model present. I've also picked up a shooting rest, botched together a cheekriser with EVA foam and self-adhesive bandages. I'm now on my route to cooking up a batch of Ed's Red following recipe from Ed, still searching for Lanoline and wonder if I can substitute with Vaseline.
The stock problem is resolved in that now it is free floated (when not fired) and torqued to spec (40in-lb for my axis with polymer stock); and has about 1/32'' of a gap (very tiny, but will let the paper pass through for the classic free float test), and now it shoots a lot better. I've also improved on shooting technique and gathered advice from a fellow range buddy, so the following are results using STV 55gr FMJ Ammunition (Also some blabering: STV seems to group better than the S&B dispite both being Czech ammo and at same weight, but being slightly cheaper at only $.80 per round instead of $1 per round. hmm)
Still there are flyers showing up here and there, but that's due to me rather than due to the gun.
Attached picture is me shooting at 50 yard, with those 2 flyer being the adjusting the scope in the wrong way because guess what, the scope I have on that 223 works the other way around.
Second picture is same gun at 100 yd. sans 1 flyer the rest 4 grouped amazing which means I'm the problem.
 

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I think your expectations are a little high given your rifle, the quality of your ammunition, and your experience.

i bought my first Savage 20 years ago. It had the crappy Tupperware stock. I used a wooden dowel with sandpaper to open up the barrel channel, hypoxied a couple arrow shafts to stiffen the forend, and used JB Weld to bed the action. My groups improved considerably. I later picked up an aftermarket barrel and learned how to replace the barrel myself. I later got into reloading to tune a good load and bought an aftermarket trigger. All of the work described I did myself after research.

I would also suggest buying a decent .22 LR. They are a more inexpensive way to practice the fundementals. Good luck!
 
Yeah, expectation probably is a bit too high for the sub-moa performance. Axis is meant to be a budget hunting rifle (without the heavier barrel, and hunting probably will suffice with 1'' group at 100 yard), and I'm expecting roughly 1'' group at 100 yard (which is 1 MOA). Factory trigger is fine though as I have the accu-trigger version so I just tune it to lightest and roll with it.
for anything higher precision I'll probabaly bust out my Bergara in 6.5; although those 2 gun still shoots slightly different, but I do suffer the same problem of controlling gun.
Once again with reloading the advice I received is mostly it will make accuracy much better as you get to tune it, but bottom line is I'm not going to save money in the short run until I shoot out 1000 round or so.
As of quality 22lr, I'm saving up. I plan to sell my 22 semi-auto and get a cz 457; the problem is I'll just have to spend all of my cci blazer before doing that. Just saying punching hole ELD is a much more satisfying than mag dump as of the moment. maybe that will return once in a while I want to empty my brain, but we'll see ······
 
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