Why would you do a 13.7" pinned to 16" when you can do a 14.5" and pin to the same length? Weight is negligible, dwell time is increased, velocity is slightly increased and you can pin many more devices. I like to watch weight too, but the design of a handguard has more to do than the length when it comes to weight (with the lightweight ones anyway). I have KMRs on my rifles and the 14.5" with a 13" handguard isn't noticeably heavier than the 12.5" with a 10" handguard (the 13" weights a whole 1.6 oz more). I've got longer arms so I actually prefer the longer handgards.
The only good argument that I've heard for the 13.7's is they bring the weight of the suppressor back which can definitely make a difference. Otherwise, 16" is 16" and I'd rather have more barrel than muzzle device. Dwell time is increased and when running suppressed, muzzle pressure is decreased which is better for suppression.
If you're set on a Dead Air mount, their new single point break should get a 14.5" to 16" with a few shims.
BTW - my favorite 556 is the 12.5" as it gives a great balance of speed and maneuverability. Suppressed with a Sandman S, it's about the same length as a 17" barrel with muzzle device.