I don't think there's no mechanical with a LCD display. But for backlit, I would say Ducky Shine like other people. And Black Widow Ultimate if you want the cheaper option that has USB/audio jack.
for everything in the "nice-to-have" section, it's pretty much covered by mechanical keyboards with Cherry MX switchs, since you'll be able to find tons of keycaps for it. The question you may want to ask is which switch to choose, since the BWU is limited to blue switches.
I used to use a G15, but it got replaced with a Filco Majestouch 2.