Two more thoughts -- first, ever try any planar headphones? I recently picked up a pair of Hifiman Sundaras and have been very pleased with their performance. Overall, I like them better than the Stax phones I used to have. Note they have this model available in both closed and open back.
Second, you indicate you are "95% of the way there...." My comment here is that you are ALWAYS at the mercy of the recording, and there is no shortage of mediocre and even poor recordings out there. The problem is if a playback system -- phones or speakers -- "fixes" or improves a mediocre or poor recording, it is also going to mess with a good recording. As such, even if you have an unlimited budget, there are always compromises involved in the playback gear chosen. If you are 95% of the way to where you want to be, my advice is to stay reasonable about your expectations for further improvement. Don't spoil your enjoyment of where you are.