Nothing wrong with that. A 16” will get her out to 600 yds with ease, it will be lighter and plenty accurate. All the extra weight from a longer barrel is felt “more” being further away from the body. This is a great option and the weight is spot on.
http://faxonfirearms.com/16-pencil-308-win-mid-length-4150-nitride/
And before you (or the peanut gallery) gets apprehensive about the profile, consider you won’t be getting this thing anywhere near hot enough for stringing unless you are mag dumping or shooting automatic. And both seem pretty expensive with the .308.