Sorry my friend
I don't really like tubes - find tubes add a bit too much color to the classical music.
Have tried 3 different tube amps including Audionote and Line Magnetic with speakers and headphones - still don't like the tube sound even if it comes from a respected brand like Audionote UK
Disclaimer: If possible, please let me know which genre of music you listen to so that I can understand the context of your recommendations
I was considering classical/orchestral as your preference.
I haven't actually heard the Schiit amp, but for 350$ and what has been said about it, i wouldn't hesitate to buy one for myself, if i haven't got the HDVA600 already. From what i have read, the Valhalla 2 is ~nearly as good as the HDVA600, at the same time surely a bit different, too. Apparently its not the typical OTL syrupy tube amp sound. More like good sounding ss, so i have read by trusted ears.
Other recommendations: If you want to end your journey in the solid state world, go stright to the Schiit Ragnarok, that is what i plan to do if my wallet fattens up.
HDVA600 is a good choice, esp used. Smooth, silky sound, definently lets all the brightness come through from source side. First time i heard HD800 is capable of world class bass, and realistic vocals. I think its fairly neutral too, easy to differentiate sources.
I wouldn't:
The original Lehman BCL is nothing special in my experience, dull, grainy and light note weight at the same time, not a good choice for orchestral piecies. If its clones are anything like it, then i would avoid, sure the op-amps can be rolled and caps removed, etc.