You can machine wash CNTs. Trust me, I did it for 16 years......
Also dry them on low heat (or air-only) in the dryer and they don't need ironing if you hang them up right away. (Polywools too, not just CNTs.) I never felt the compulsion that my military creases should be sharp enough to cut glass and my CNTs would look fine with only minimal care on my part.
I liked that CNTs were so low maintenance. Their downfall was that they were pointlessly uncomfortable in typical FL summer (and VA... and just about anywhere warm).