You have nothing to worry about. A HBAR is just extra weight anyway. A M4 barrel is the way to go for a carbine. The gun will handle and feel better in your hands, trust me. Accuracy is not a concern unless you plan on making the carbine a target rifle (and in that case, you should be shooting match grade ammo with a stainless steel barrel).
I would get a "float" tube for reasons entirely different than what you stated. A 4 rail handguard will allow you to attach a variety of accessories to your carbine. I currently have a flattop Bushmaster upper with a 16" CMMG M4 barrel, along with a LaRue 7.0 handguard that free floats the barrel.
If you want standard iron sights, get a flattop with a detachable carry handle, because you'll probably want to add optics later.
Accuracy is not an issue out of a chrome-lined 16" barrel, but don't expect sub MOA groups either with GI ammo.
By the way, since when are AK's "inaccurate"? I resent that sine I'm an AK guy. AK-74s and the newer AK-103s are excellent shooters in their own right. I can easily hit a chicken sized target with my Romanian AK-74 (SAR-2) at 200 yards.
themao