Given what you’re looking for I’d highly recommend the Hifiman HE1000 SE and the Quicksilver tube headphone amp. The HE1000 SE rivals their $6000 Susvara headphones but are MUCH easier to drive and can be had for only $2799 ($700 discount) from their open box section on their site (I bought both my ‘phones from there and couldn’t tell them from brand new). The Quicksilver amp can be had for only $1198 and is a huge value and would be a great pairing with the HE1000 SEs. So for $4000 you could have an awesome HeadFi system that rivals the best. Here are a couple reviews FWIW…
https://soundnews.net/headphones/full-size/hifiman-he1000se-review-how-high-hifiman/
Best of luck