If you don't like the KGBH, then I don't think you'll like the KGBH SE, from what I know of the "upgrades".
From what I understand the new amp, dubbed the KGST will have less power than the BH, in which case, I wouldn't hold out hopes for this combination either with the SR-007. The direction needs to be more class A, more power, more heat.
Let's not go down this rabbit-hole here at head-case. No, this isn't a concession or agreement with the above line of logic, in fact it's the opposite.