LCD2 has a 15 dB shelf at the high end. It's not ultrabright I'm after, it's that many headphones actually feature rolloffs or shelves at the high end.
Have a graph: http://www.innerfidelity.com/images/AudezeLCD2Rev2.pdf
http://www.innerfidelity.com/images/HiFiMANRE272.pdf - but Tyll used the long tips, which sound attenuated in the air a lot to me. I preferred their short biflanges a lot, except for the fit.
And these I use daily - they have some resonance (not just some boost) around 9k, but otherwise are rolled off - despite that, tonal balance is pretty good:
They still need some EQ in this high end range though.
The perfect sound would probably be either like Hifiman HE-400 (but with less distortion) or HE-500. Or perhaps Stax SR-007 Mk1 sans the subbass cut or Stax SR-404 - that one was great, but ugly like a dog. (For comparison, newer Stax SR-507 is just as bright, but much less airy.)
Senn HD800 is also relatively close, but too hot in the lower highs and bit less airy than either of the above.
Are you sure you don't have airiness and brightness mixed up? Linear highest end (>12k) causes airiness to me, unless there are resonances - these sound harsh and grainy.
Brightness is a different beast, it has 2 kinds: the sibilant/crunch kind at 4-6k and sparkle kind at 8-10k. 10k-12k is interesting, in that it changes soundstaging more than the balance, but if there's too much, it sounds glassy and brittle.
And no, my SE-5 don't have that short ear canal part, but the fit is a bit imperfect. That shouldn't affect response this much.
From how you describe things, the NT-6 could be what you are looking for, but then I am still not sure. I consider it very bright, but can say with the Whiplash Hybrid V3 cable it makes me really want to grab for it. There are several other NT-6 owners now, so if you did want to pursue it I would recommend asking for more opinions to help you "decode" the sound.