Warmer sounding Solid State

Sunfire 300x2

Plinius SA 100 MkIII. Beefy, switchable between A/B and A.  Paired with a Plinius preamp . . . a great combo.

Warmer sounding SS is/are finely designed and executed devices that have very low distortion levels. Both odd & even order harmonic distortions are essentially negligible.
That's what makes them sound "different" and often more engaging and listenable. 

If you're committed to a new amp to achieve the results you're looking for ( priced lowest to highest):

McCormack DNA 0.5
Jeff Rowland Model 2
Pass Labs XA 30.5 

None offer monster truck power, but are terrific sounding amps that lean in that direction.

if you can address it from the source, look into the Musical Paradise MP-D2 DAC. Tubed rectifier and output, swappable caps and DAC chips. It'll warm the hell out of your system for $880, and it almost infinitely tweakable.

Im still liking my modwright kwi 200...descent power w/warmth....some earlier posts about guitar amps/tubes vs ss...come on I love my dr z amps...but this is audio...lol...aight!