Best 845 tube out there?

Sophia does not manufacture tubes. These are re branded Chinese Shuguang tubes which have "passed" Sophia's quality control standards.

SuperTNT 845W Noblemens can be had for $400 pair when they are offered for sale, although, I have not seen too many pair for sale as most owner are keeping and/or hording them (like me)for future use or back ups. I like the Noblemens better then both Amperex and RCA. My favorite is still the United 845. I own all the aforementioned tubes including the Cetron 845 and a bunch of the Chinese variants.

The high dissipation Super TnT produced 845W are actually far rarer than any NOS due to the extremely small run which were produced.
They also sound significantly better in my amps.

I have an octet which will only be prised from my stiff cold hands !
I also have a quad of the superb high dissipation Super TnT 845M which were also produced in extremely low volume.

Don't confuse the above types with the inferior Shuguang variants which have perforated plates and are commonly found, also sometimes branded Sophia and/or Golden Dragon.

Other than the above tubes, unless you know the operating points of your amp and can adjust them, I'd suggest to stick to the standard Shuguang 845 B which is a decent sounding, reliable tube.
You may actually find that experimenting with different input & driver tubes achieves quite a pronounced variation in sonics.

Amfibus, the 845 referenced in your Sophia link is a rebranded TJ Full Music 845 MKII Carbon Plate. This tube will not work in your Cary 2111AE as it requires a much lower filament current (0.6A vs. 3.25A) than what your amp is spec'd for.

I'm using a pair of the Shuguang PSVANE 845T's in my Art Audio Carissa for a little over a month now.
I have about 45-50hrs on them.

So far...I find the sound to be superior to either the 845B..or the metal plate variety.( i've only used the latest 845M or C...not real sure about that))

They sound remarkable!..very much like NOS!...I'm not kidding!
I'm VERY impressed!
I've not made any direct comparisons, I only have the memories of hearing NOS RCA's fairly recently.

IMO,The 845T's seem to combine the best of the B's with the best of the M's (without the plate dissipation issue).

Of course my observation has to be taken in the context of my system and my personal musical prefferences.

Thanks for posting, Davvie. Can you describe the differences between the PSVANE and the 845B?