The only other thing I can think of is to use inks or acrylic paints. Acrylic paints can be thinned with water and used as a dye and come in hundreds of shades. I used to make theatrical costumes, and we often used acrylic paints as dye. There are lovely artist inks as well which could work as well. My thought is that the covers are not usable as is, so why not give it a shot. It can't get worse. You might still have to put a throw over it.
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