If there's a gap underneath the dresser (if it has feet and isn't completely flat-bottomed), you could create something with conduit, pvc, or lumber that looks like a big "E" without the middle line (or a "C", the way it would look on a digital clock or microwave display). Make sense? The bottom horizontal would sit on the floor, and the top horizontal would have the lights hanging from the end of it. There would be two of them, and you'd have to brace them somehow. But it wouldn't have to be screwed into anything.