Quoted: well originally my idea was to get a 16" chrome lined barrel with a midlength gas system and YHM FF rails (a bipod would fit better on that than on an M4) and get a scope that goes up to maybe 14x. Would this be accurate enough to nail a squirrel on a tree from 150 yards on the first shot?
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Maybe. With match ammo, and a quality chrome lined 16" barrel... you *might* be MOA, or just under. Thats a big maybe. Some chrome lined, non-match barrels just aint gonna shoot better than MOA (and that is a lot to ask... many *shooters* cannot hold MOA) So, lets assume you get a good one, and it can hold MOA. That means at 150yds, you will be holding a 1.5" group. About the size of the squirrel width (body/head/center mass) You will need to understand where your zero is.... sighted in for 50yds, your shot at 150 will be somewhere around the peak of the trajectory, and will be around 2" high at this point.... so to get a hit, you just need to know this.
All that being said... sure, it's doable, with match ammo, and you holding perfect.... Even the BEST gas guns out there are only gonna hold .75" at this distance.... so its still a great shot to take out a squirrel at 150 yds on a cold bore.
Do I need to get a bull barrel for this?
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No. But you will get better groups from a match barrel. Doesnt have to be a bull one. Match barrels and chrome lined typically do not go hand in hand.
If it will help a lot I will lug it around. Between a 20", a 16" and a 16" bull barrel, which do you think I would like best?
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Personally, I feel a quality 16" chrome lined barrel will probably meet most of your needs.... unless you find that this just is not accurate enough.... for long shots. Some people here have acheived sub-moa from a bushmaster 14.5" barrel.... so thats a crap shoot. If after reading this, you want the best accuracy potential, and to maintain the flattest trajectory, and retain the most velocity, then I would go with a 20" match stainless barrel... but not a bull to keep it light.
Of course, all this depends on you using some really high quality ammo, or handloading... which you havent commented on. If you just wanna go buy some walmart white box stuff.... then it really wont matter what kind of barrel you shoot. I have a 20" bull that is capbalbe of .5MOA with black hills 77 SMK's.... but it still shoots 2-3MOA using Wolf.