Hi,
It's definitely a tall order, but it's possible, with some compromises. The PG+ is basically an A5 Pearly Gates, it definitely does everything from blues to old school metal, if you don't need it for very technical and tight stuff, it's great and versatile, and if you like it's sound you have it sorted.
With a lot of gain, however, it's not a very tight pickup, it is pretty bright but sadly not the tightest, very fast playing on the lower strings can get inarticulate with high gain, although this can be slightly dealt with raising the pickup screw on the bottom string. If you need it for the more modern techie stuff, and this part of the sound has a priority to you - you could change the bridge humbucker to something else with a little bit tighter bottom end and perhaps slightly more output, and still have it super versatile.
Plenty of very versatile pickups -- Norton, AT-1 or even Evo2 from DiMarzio… Custom series from Duncan will do anything from jazz to metal, Bareknuckle the Mule(s), VHII or Rebel Yells will do as well. Pick your poison… they all sound different, but they all will do everything you can think of, provided you have the right kind of amp/simulator to back it up.
Texas Specials are awesome overwound single coils (yeah, they're reasonably loud), and they're great for everything you can throw at them (sans metal of course, they're at their core still single coils). If you ever feel the need, you could switch to a single-sized humbucker in the neck if you want the neck humbucker sound as well as singlecoil from the same position. If you feel the need, Satchtrack is great if you want both the humbucker and singlecoil sound from it, because it sounds like a real humbucker but also have an excellent split sound, Injector is great for fat powerful loud shred sounds - but like I said, if you don't plan on adding tons of gain on the middle and neck, stick with Texas Specials, because they're really great pickups, and can cover a lot of ground.
Lastly, amp has a take on it as well, a high gainer like a Dual Rec or 5150 won't have issues sounding super aggressive even if you're running 36th Anny, and I doubt anyone would comment SuperD's clean sounds bad from Fender Twin or JC120, so it should be put into perspective. If you use modelers/software/profilers, my experience is they react better to tighter and louder pickups then they do otherwise.
With all this said, I'd first buy the guitar, and try it out, and find out if you're satisfied or you're missing something.
Cory