The LMII is very even and very clean, and if that's not your thing, then that's not your thing. The Shuttle is quite a bit more 'inherently voiced', and is brighter up top and more compressed down low. That might just be a better 'mix and match' with the cab you are using.
I'm not particularly impressed with any of the micro heads running into a large 8ohm cabinet. They are really all designed to put out their best tone run at 4ohms, especially if you dig in a bit. Obviously, if you play at only moderate volumes and don't use aggressive playing styles (like digging in with a pick or slapping), most will perform fine at 8ohms.
I understand that the Shuttle Max 6 has a bit more even tone and ooomph than the original Shuttle 6, and it has a MUCH better EQ/preamp, with variable voicing controls and two bands of semiparametric mids, and a separate tube and SS pre. That might do the ticket, but it costs a bit more than the other heads you are considering.
The new LMIII has been modified to provide a bit more ooomph at 8ohms, but it sounds like the tone didn't work for you, versus the volume, so that probably wouldn't really be an option.
In this day and age, having a large 8ohm cab as a stand-alone for use with a micro head makes very little sense to me, but if that's the route you've decided to go, the Shuttle Max 6 seems to be a good option for you, given your review above.
I would stay away from the GK and Carvin due to the massive number or problem posts each of these Micro's have had.
Thanks, Ken. Actually, I don't consider the Carvin LS 1503 a " Large 8 ohm cab" - it is certainly smaller than your typical 4x10, and , according to Greenboy, a pretty efficient cab for the money. In fact, I believe it was the inspiration for his FearFul designs, but I don't want to speak for him. Anyway, in my quest for smaller and lighter, I'm having Don at Low Down Sound build me a cab with the Eminence 3012LF, so maybe a change in cabs will make a difference. I actually like the Shuttle tonewise and the whole " volume " thing is pretty subjective anyway. But the Carvin actually sounded better to me with more usuable tone options than either of the other two heads for my ears , anyway. But of course, I had the problems others had with this head and finally gave up on it. Sure is nice to have options though!

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