Second to Crazy4blues since I actually have a VAC Avatar. It's a great tube amp and you should definitely check it out. After much research, I finally decided on this one and love it. Then again, my musical preference is more classical/jazz/vocal. You can pick one up used at around $2k +/- $200. Other tube integrated that you may want to consider:
Manley Stingray: of all tube integrated with your price range, this one seems to fit your needs. Sonically, it's not as lush/warm/romatic as other tube amps (i.e. great for rock). Size-wise, it's not too big and should fit in your rack. You can pick up a used one here around $1k or so.
Conrad Johnson CAV50: great sounding tube amp, but not necessary your taste though since it's pretty warm and romatic. Check it out nonetheless. You can get one used for around $1,400.
For a "tube-like" sound solid state, you can also check out the Classe CAP 151 (since you are also a Classe fan). Heard a lot of good things about it and you can pick one up at around $1,400.
Or a Musical Fidelity A3.2 or A300. Both good choice at around $1k used.