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I just completed the Envoy of Shadows story arc (level 35 - 40) last night.
There is NO WAY any AT can solo the Envoy (ArchVillian).
We had 2 Fire blasters, an energy blaster, a fire/kinetics controller and an empath defender and we still had a major battle to take this thing down. Fire imps were useless as they were slaughtered as fast as they could be put out (and this is pre-nerf). This COT Behemoth has 11,000 hit points + dark shroud + regeneration. If anyone thinks they can solo this, I'd love to hear how.
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I solo'd the envoy. It took a long, LONG time, but I did it, and it wasn't hard. It was, however, 2 levels below me. I fought it when it was even and couldn't do it, but using the tactics I did the 2nd time I'm fairly sure I could have. The only thing that was stopping me was not being able to do enough damage to get past his healing flames when he was near the end.
All I did was immobilize with cages, smoke and spam heals and fortitude on the fire imps while they did their job. A couple times the imps all died, so I had to stand back while 2 groups recharged before going in again. (This is what I didn't do the 1st time around .. I just kept casting 1 group and heading back in).
Didn't take a stitch of damage. And I'm not even fire/rad or kin. A kinetic should have been able to take him down handily.
This is the only AV I ever even tried to solo so I don't know how well I'd do with any other.