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Maybe one of the omni-directional speakers would be a good fit. They supposedly fill a room with sound and are not supposed to be room dependant. Many of them seem to have an upward firing woofer/mid-woofer.
I saw an ad today for the Morel Chorus and it was kind of interesting. Supposedly you can place it anywhere and still get a good stereo image. I think some of the Ohms were designed like this and the Decware Radials work this way too.
I hate to sound pessimistic but I don't think that the type of speaker will make a difference. The laws of physics are going to get in the way. When the speaker radiates sound, whether it is floorstanding or whether it is stand mounted, the sound waves will bounce off the sofa, or at least some of them will. (Highs will be absorbed.) You will now have the same frequencies coming to your ears from the speaker and the sofa. This will cause a certain aural confusion, for lack of a better term, and will affect soundstaging and imaging. you will not be getting the performance your speakers are capable of. You either live with it, or you rearrange your furniture and/or speaker placement.