SS Budget "Tone" Integrated Amplifiers

In that range, I was going to suggest Rega.  If you need more power, look at a used Elicit R.  You might also look at Cyrus or Roksan.  I am just learning the Cyrus line so not sure it there is anything that is a truly good fit based on your budget.  

@greg7  - In your $1000 - $2000 price range, I really like the Rega Elicit-R. I've owned integrated amps from Musical Fidelity, Anthem, Arcam, Plinius, Bryston, Parasound, and several others, and I prefer the Rega sound. The Elicit-R has great bottom end and is non-fatiguing in my system. I consider it to be a very musical choice. I also use the built-in phono stage for my turntable and find it to be very good for the price. They seem to sell for about $1500 on the used market, maybe a little more today. That's what I paid for mine 2 years ago.

buy used

sugden or hegel, rega maybe (but less so)

a more unlikely one, but it is very very tonally pure and well built - sony ta1-1es

Belles Aria integrated used.

Belles Aria first..... If you can find an old Audio Refinement, its a bit darket than the Belles, but sounds great and inexpensive.