I had a few, Made in Turkey, wool/ viscose rugs, and so far( knock on the wood), I haven't had a bad experience. I use Fine fiber shampoo or Haitian cotton(I love the coconut scent), a black brush on Oreck, not letting it sit on the rug(just walking it on the surface), and floating it with two air movers after cleaning. Most of the time, the carpet is dry in 20 minutes. I can use the same technique, and with the upside-down position, the rug will benefit from gravity and float drying.It responds positively to alkalinity.. I'm not saying use high ph.. I have been using ChemMax Rayon rug shampoo and it has been helping with cleaning and leaving a softer hand.. My results are from doing a full wash, not surface cleaning..
Yes getting the water out of a viscose rug is the hardest part.. Flipping it over as it dries helps to keep the wicking in check.. I do use a centrifuge to extract, unless it 's a bleeder then I will wand extract, then diaper to help with stamping in the centrifuge.. I was a press wringer sooo bad!
Clean it one direction except use natural fiber cleaner and push it or groom the same direction.