I would recommend that you spend the 30 bucks to access the premium content on silencerresearch.com.
He has tests of both of the cans you listed.
I have no first-hand experience with either of these two cans, but according to the results posted on Silencer Research the Liberty looks like the better choice. Approximately the same weight and price as the AAC Cyclone and nearly as quiet.
I'd just get the Cyclone. In fact, I did.
The Cyclone is a awesome can - period!
The "K" is also worth looking at. Many people overlook it. It makes a better multi host can being lighter and shorter. the 2-3 db is worth it to me since you need hearing protection anyway from the sonic crack. My "K" spends time on my M700 in 6.5-08, M700 in 308, M16 in 5.56, and my AR15 also in 5.56