Applying pressure on a free floated barrel will make barrel move. With the mounting screws properly tightened, the barrel will return to location before pressure was applied. The barreled action will not move and that is good for accuracy.
Applying same pressure on a barrel with screws loose will make for barrel not returning to the same place. And will make the complete barreled action come to rest in a different location which is not good for accuracy.
You can do two things to check barreled action to stock fit.
First...
fasten all screws just snugged up
tap the stock on the floor. this will move action to the rear and most importantly move the recoil lug against the surface it bears against.
tighten screws with more pressure, the front screw will have more pressure than the rear and the rear will have more pressure than the middle. and do not over tighten this third screw as it just holds the trigger guard in place and need not be overly tight. IF THIS SCREW causes barreled action to flex, that is to bow or bend down as the screw is tightened, this will cause accuracy to suffer. Why? because there is not enough material between trigger guard and stock to take the pressure of the screw being tightened. If this happens you can do two things to cure this problem...one do not over tighten screw, and/or two add material to the area on stock.
if your model rifle does not have a middle screw disregard tightening procedure for screw not there.
Second
With screws properly tightened...
recoil lug backed against it's resting place
front screw tight, rear screw less tight and middle snugged to hold trigger guard in place
place fingers on opposite sides of receiver over screw you will loosen, you will do this procedure for each mount screw on rifle
loosen screw and feel for movement of receiver above screw you loosened. Write if receiver moved or not and properly retighten all screws and proceed to test other screws.
If receiver moved, then there is a barreled action to stock bedding problem which is cured by epoxy bedding the stock on screw hole location.
If you do not know how to do this, I recommend taking complete rifle to a gunsmith and have him do bedding test and bedding if needed.
A quick cure is to add a shim of correct thickness under receiver of screw that caused movement with trial and error. Shims should be in the .001, .002, .005, .010 inches or so thick and made of either stainless steel or brass and cut to shape to fit under and tapered up the sides of stock to tighten up fit.
Other things to think about are.
length of pull of replacement stock
eye relief, rear lens element of scope to eye
cheek placement, cheek weld
level...bolt raceway surface level, scope cross hairs level
trigger pull excessive
shooting procedure consistent? as changing shooting position each shot or after a series of shots will cause bullet to change impact point. same with changing shooting rests and shooting rest positions on forend.
never ever rest barrel on anything as this will ruin accuracy
shooting on a windy day will/may ruin accuracy
Ammunition. Your rifle may have a preference for the ammo you fed it. Honest. Buy one box each of several brands. And shoot 3 rounds out of each box at a paper target. Do this with each box ammo.
The ammo that prints the smallest group is your work ammo.
Cleaning. Clean barrel bore, chamber and bolt lockup area. Oil lightly. Then before going out shooting, clean oil out of barrel bore and chamber. Or, at range shoot several rounds until oil is burned out of barrel before shooting for accuracy. You will notice bullet groups shrink as oil is burned out of bore. If not, there is some other problem, loose screws, bad ammo, etc.
Barrel twist rate. Bring the box of ammo with you to a gunsmith and have g/s check twist rate of your rifle to the bullets you are shooting out of your rifle. What with all these new bullets being introduced, you may be using a bullet to long or of the wrong weight.
Reloaded ammo. Whew, this is getting overly long. So. If shooting reloads, switch to factory as per procedure above to check your rifle out. If accuracy improves, stick to factory ammo and work on improving your reloading procedure and or components.