I just bought a 2016 Faded and can't believe what a smoking player it is, more than any other SG I've owned or tried. (Have owned a 2013 Standard, still own a 1974 Special, and tried many others in stores.)
I second the Reverend recommendation and I'm 100% behind the current offerings........but I would also add that USA Reverends are below 7.
If you want HH then look for a Rocco. They often come with mini toggles as well for split coils.
Professional grade guitars that hold up to abuse and stay in tune forever.
My PRS S2 Mira is 5 lbs and stays in tune all day and my standard 22 is just over 6 lbs, SGs are lightweight but they kinds sit funny while playing, OP play one first to see of you like, the PRSi sit nice and balanced...
My 06 Faded LP Special with Pearly Gates is my #1 and is around 7 pounds. Great guitar.
The SG Std i owned was really nice and about 6 pounds.
The Faded Flying V i owned was really good and about 7 pounds.
All with humbuckers. Lots of choices.