That is usually the driving question what most decisions are made around. What is the "good 'nuff for me." performance vs cost ratio. You can spend a lot of $$$ chasing that last .2 MOA!
I agree with Variables breakdown. I would list it like this.
1: Shooter. (bad form defeats all.

)
2: Barrel: chamber/crown/rifling/bolt
3: free float forearm
4: trigger
5: optics
6: rest of the parts that hold parts 2-5 in place. Upper receiver, Buffer tube/spring, lower receiver.
#1 has been the cause of many a debate: Cut vs Button Rifling. Length vs Muzzle Velocity. Weight vs Portabiltiy. and on and on. Some say 16" is good out to 300...some say 20" is better...others say 24" is just too damn long. Personally, I don't see an issue with 24 inch barrels...I carry a Weatherby .300 Mag for deer hunting and its 26" barrel has never been an issue.
Everything comes down to what is right for "your" specific needs. Given the history of the Liberty barrels I would say find another one. I researched the Grendel for over 2 years before I built one. Saw the mess surrounding that particular barrel and decided just to steer clear of it. I have no idea what the current status of it is...but I am not going to spend my $$$ on it to find out.
If you are just deer hunting with it...you need to be able to hit a deer's heart at 300. Thats good 'nuff and many popular mfg's barrels will deliver that performance. If you need to hit a dime at 300....now you are up there with the expensive barrels and high-end optics.
Good luck with your build and your hunt!
JJ