Is the couch back against a wall. I had some satellites sitting on both back ends of the couch, leaning against the wall, for a while when I had no stands in my old sat. system. Just turn em down to appropriate levels so people don't go deaf in one ear if they sit beside them.
Thin stands can be made imaginatively if you get creative. Just look around at what you have or need for materials and apply duct tape as required. If the footings sticking out are a problem, consider building the foot so it hides mostly under the couch. Depending on the material used and how tightly the speaker sits on the stand, adding a layer of scrap rubber or foam can be good to keep the stand itself from resonating.
In fact, lets make this an Apollo 13 type challenge. Send us a list of your materials, a sketch of the area and an elastic and we will see who can come up with the best solution.
Or not, My brain is burnt from work and I'm not even sure what I'm saying at this moment.
I'm Riffing. People usually stop me when I'm riffing. Or carry on without me. That's also an option.