Is there a Solid State amp that can satisfy a SET guy?

The vast majority of SS will not sound like a SET because they are electrically very different.Bakoon amplifiers sound a lot like a SET.A very very good SET.And that is most probably because they operate much more like a SET electrically -no negative feedback/high output impedance/current drive.Although the unique SATRI circuit probably also contributes to that sort of sound.I sold my SET and stopped using my other tube amps when I bought a Bakoon.But like a SET they have to be used with speakers with a highish and flattish impedance to sound their best. Although in my experience they are not nearly as fussy about speakers as the typical SET.

Pass XA30.8

Check out the Belles SA 30 I promise you its a Special performer.  The input imp is 100 K so a tube preamp is at total friendly optimization
  Best JohnnyR

Up until recently, I enjoyed immensely my Pass XA60.8's. Needing a bit more power for my hungry TAD's, I now have a Coda Model 16 and am blown away with the sound. Enticing, tube like texture, punch and soundstage aplomb. You are welcome!

I’m surprised nobody has mentioned the Firstwatt SIT-3. IMHO if there’s a SS amp that can approach SET magic, this is it.
I use both SETs and low-power SS amplification in my system and agree with others that one will not sound like the other. However, the SIT-3 is one of a kind because it’s a no-feedback single-ended circuit based on a rare transistor that behaves like a triode tube.
For reference I also own a Mastersound 300B and a Valvet E2 and while I find each one special in their own way, the SIT-3 somehow manages to combine the best of each and I find myself listening to it the most.

Having said that, if you REALLY want to be reminded what a good SS amp can sound like, try listening to one of the Gryphon integrateds. My experience with the “little” Diablo 120 has been ear-opening to say the least.