i recommend you look into the PRS DGT model. they have a number of different available finish options; from very understated all the way up to very bling. here's why i recommend it:
it can definitely do gibson (LP, 335) tones, but also has a lot of its own thing going on that should allow you to find your own sound(s)
the pickups are coil-tapped, and are the best tapped pickups i've ever heard- no signal loss and very nice single-coil sounds. the humbucker "mode" is amazing as well.
the neck is very comfortable if you like a slightly chunkier neck that isn't too chunky.
it has a really nice trem system that is there when you want it, and unintrusive when you don't.
it fits in with your style perfectly.
you can find a used one for your budget (or less if you are patient)
it will hold its resale value if you don't end up bonding with it, but it's got some serious vibe to it that you won't want to part with.
here's mine (you might prefer something a little more subdued- PRS makes them with dot necks as well, and solid colors if you aren't into figured tops).