I care what you say !! (lulz) But does your guitar HAVE to be a Gibson ?
If not, THEN you can REALLY save some money.
Vintage (Trevor Wilkinson) make proper guitars (and Gibson copies), in you situation I would get one of his SG (VS6) or ES (VSA 535)copies fe, and take it to a really great luthier.
The guitar will sound great, somewhat brighter than a Gibson, but you could even have a Gibson pickup installed to get that sound, heck even have all the wiring and electronic matched the Gibson AND save quite a bit.
For jazz, personally would expect a wider SG neck to be better, to me it looks like his ES model has more of a Les Paul neck.
Just what I would do, while I like cheap guitars more I totally understand people wanting the real thing.