Solid state amp that tube fan can be happy with?

I would definitely recommend giving CODA a good look. They have several SS amps in that price range that would excel at the characteristics you are looking for. They run cool (for Class A) and CODA amps are fast and articulate, while retaining a smooth, warm sound not typically associated with SS amps. Pass is also a good choice, but CODA is every bit as good, and typically less expensive. CODA doesn't advertise and they are not as well-known as some competitors, but they are extremely well made and offer a great value. 

The CODA 5.5, or maybe a used CODA 8 would be good choices. The CODA 16 is a great amp but would be beyond your stated budget.  

Good Luck

I auditioned the Van Alstine SET 500. Thought it was a very good sounding amp, but while it was smooth and dynamic, I didn’t think it really sounded like a tube amp .

No conversation about the new EVO 300 Hybrid power amp from PrimaLuna. This should be looked at. 

Due to the current state of tube availability and prices  I switched to SS.

I ended up with a Coda No. 8 stereo amp. 50K unbalanced input imp. and 10k balanced input imp..Just a terrific amplifier and it can drive a number of different speakers. Not sure its just like a tube amp because there are so many different tube types and design iterations. But I am happy with the choice.  And I thought that couldn't happen.

I replaced my VAC Renaissance 70/70 with a Coda s5.5 and I am very happy. @mulveling  nailed it as far as that tube harmonic distortion that is pleasing to the ears. But I have adjusted and I am very happy with the results.