Can’t do both. LolTubes are a lot of fun and are sort of a "fixed hardware EQ" that is a lot more enjoyable to use than an actual EQ.
Anyways, in my humble opinion, these should be your finalists to check out:
The soundstage champion, technical wizard, Sennheiser HD800S:
The romantic and intimate, never offending ZMF Aeolus Ltd Ed:
Both headphones actually look like how they sound ;]
From your discussion of your preferences, the HD800S I think will be the clear winner. The ZMF Aeolus is a good 2nd headphone to have though for a more intimate, less revealing and totally different sound. So buy both, complementary bliss
HD800s would bring something different to the equation. I doubt any of my headphones sound presentation could relate to dynamic driver in HD800s and it’s technicalities. Still debating ZMF as a contender.
Also, what about HiFiman HE1000 V2? He sells open box directly for 2K. It’s within budget but I’m not sure how it scales in comparison to other headphones we talked about?
And anyone have experience using hifiman cans with quality tube amp?