I think your problem is having tyraels framelock on at all here, Unless im mistaken your supposed too have it turned off in tyrael and turned on in HB settings itself, With the Tyrael lock off, HB lock on and my tollerance in game set correctly, all CRs have stopped stuttering for me completly and are nice and fast, theres the od lagg in AoE in raids, but i get that w/o HB tbh and some lagg in Shrine of seven stars, but in instanced pvp its perfect for me and my system isnt exactly top end.
Well, then you are using an old Tyrael. The new Tyrael (well, since a week or 2) has the own framelock portion removed. The checkmark in Tyrael is the same as the checkmark in HB now. Meaning, tick it in Tyrael --> it's ON in HB and visa versa.
There is only 1 framelock setting left. If I turn it on, also when using TuanHA SE, the framerates drop significantly. No one so far is able to find a solution other that turn it off. My hardware is certainly up to spec, I did reinstalls of the whole OS, HB, WOW, addons/no addons, plugins/no plugins, different botbases... it did not matter at all. Even used another pc to verify it; that one has the same issues. Concluding: turning framelock on (even @15tps) and doing LFR means I have to live with lag/stutters.
For people who still think my pc is not fast enough, this is what I use:
Intel Core i5 2500K@4,3GHz (oc'd), AMD 7950 3 GB (oc'd @ 900/1350 with various Catalyst versions), 16 GB DDR3 and an SSD, Windows 8.1 x64 (tried Windows 7 x64 and Windows 8 too; same result). WoW at 1920x1200@good quality (also tried 800x600 windowed@low but I get about the same fps so my pc can handle more).
So if that set-up is not able to run HB with framelock on, get yourself more power and maybe it will help. During Naz'grim fight or the last phase of Thok for example, I sometimes drop to 8 or 10fps. Average I still get 20+, but it's very inconsistent. The range all goes up from 8fps to 40fps at max, depending on what happens on screen. LFR is a b*tch, I know that, because in HC dungeons and World PVE the fps is fine. In LFR just too much happens and HB+CR seem not to be able to process all that info. My CPU and memory usage are fine now; 35-40% for WoW and 5-10% for HB.
TLDR; TuanHA might state that he drops to 20fps in heavy AoE and 40 on boss fights, but with my similar hardware I'm lucky to have 20fps on boss and 10-15 in heavy AoE. With all his CR's. As soon as I stop HB, fps immediately goes up to 60 (v-sync) or 80-100 without v-sync.