Solid state amp that tube fan can be happy with?

I agree with @atmasphere here. Get a nice pair of class D GANFET monoblocks like from orchard audio with your tube pre. It works great in my personal experience.

I agree with curiousjim that the PS Audio BHK300 is a hard amp to beat for what you are asking for. 

Gold Note PA-10 x 2 run in mono. Ganfets. 

Pass, Coda, Krell would be the top 3 SS amps I’d look at.  Accuphase and Luxman would be in the conversation as well but I think they lean a bit more toward outstanding SS amps with a dash of tube sound, qualities while the other top 3 blend the best of SS with the best of Tubeiness (tube magic).  Pass as another poster mentioned designs their amps specifically to behave much like a tube amp, they are the OG of SS amps that bring that tube magic.  Coda is way under the radar and was founded by Pass engineers, their Class A amps are a phenomenal choice, their # 16 amp, end game for what I think you are looking for.  Krell, their XD line sounds more tube like that any SS amp I’ve heard but still has the grunt to get down low and controls speakers unlike any other Amp I’ve tried.  I compared Krell XD amps and they’re integrated to other SS and Tube amps.  There was something special to my ears about the Krell XD amps, sweetness to the sound but while maintaining all the positives of SS but without the negatives.  I’ve never experienced some of the new class D designs but have read some of those can capture what I think Pass, Coda or Krell do.  If you picked Pass, Coda class A amps or Krell XD line of amps, think you’ll be very happy.  

I don't think I could totally remove my tube el34 amp from my system, but the Accuphase preamp and Class A amp that alternates in, gives me a pleasant option. It's a tough one, different, with excellent attributes, but both good in their own way.