I had tried previously with my HE-6:
Woo Audio WA-22 with stock 6080 tubes (not able to drive it well)
Bryston BHA-1 with balanced input (able to drive it quite well)
W4S STI-500 integrated amp (able to drive it VERY well)
Hypex NC400 monoblocks (able to drive it BEST)
I just got in some Western Electric 421a power tubes for the WA-22 and they make the amp much more powerful.
At this point, the WA-22 drives the HE-6 at least as well as the BHA-1, maybe better. I would not hesitate to purchase HE-6 if either the BHA-1 or WA-22 is your amp (although if you are running the 6080's you will need to upgrade power tubes to either a WE421a or Tung Sol 5998).
Yes, the speaker amps drive them a bit better, but they are certainly competitive with other Flagships off of the BHA-1 and WA-22 IMO.