Solid state amp that tube fan can be happy with?

I rarely see YBA mentioned here but their amps are designed with tube sound in mind.  I used to work at a stereo shop that carried their products and it was always an easy sell for customers seeking a tube-like sound without the hassle. As a long-time tube owner I personally found them enjoyable and have often been tempted to go that way again. ;-)  They're pretty affordable, too.

Van Alstine DVA SET 500

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.