I recently registered to the forum here. I‘ve eben looking around here a long time as I own a couple of US G&Ls.
I will introduce them to you of course later.
Last week I was very lucky to find a 86 superhawk in my area. it needs some minor adjustment, the pots probably need to be replaced but after all it is in really great shape. It sounds a bit dark and compared to the Asats it has less volume, I still need to figure out what is necessary. But its a beautiful, light and ergonomic guitar and has a great sustain.
Here are some picr, enjoy:

