I've narrowed it down...

I've also noted that B&Ws seem to like transistors better. Perhaps this is because of the complex crossovers in most of the B&W models.

Your list of tube amps is a good one, don't think you can go wrong there. Note that these models don't all sound the same though! Another make you might add is Audio Space. They are easily the equal of the Cayins in build quality.

B&W is not generally a tube-friendly load.
Crossover? Well, electrically, most B&W are a very reactive load...meaning it looks like a capacitor or inductor to the amp. Large impedance swings aren't fun for tubes, either.

SS is best.

Yes, do change speakers, I'm biased toward the Cary's (own or have owned several different models over the years). You might want to read the chat on Zu vs Tekton Lore.

With all due respect to some of the other posters, I suggest buying amps for speakers, not speakers for amps. I suggest that one find the speakers one likes, and then buy the appropriate amplification.

I suggest auditioning speakers WITH proposed amps.

Buying speakers for amps OR amps for speakers is the short way to madness.
Buying / auditioning together, especially for people just learning, is best done in a shop with some experienced guidance.
Online? Well, that's much more of a risk, IMO. Unless, of course, some background exists to ease the choice / reduce risk. Others have the 'buy it used and test it' philosophy, thinking they can sell whatever for pretty much what they paid for it.
The online approach is, to me, anyway, for the more experienced or those with deeper pockets.

Un, with much more experience can target into a class or perhaps even a brand of amp which has very high probability of satisfaction.

Overall, I'd say to buy the source first. That'll make run of mill stuff sound better and perhaps even survive a few upgrade cycles.