jea48,
Unfortunately, the real answer to what carries the signal is pretty complex, but sometimes an analogy is best.
What propagates the signal is an electromagnetic wave. The electromagnetic wave is induced by a voltage potential. The energy is technically "carried" in the electromagnetic wave. It is not even carried in the wire, but in the field around the electrons (and wire), but that does not mean that at audio frequencies esoteric dielectrics for wire make any practical difference. That wave induces electron flow in a given direction. Current, by definition is the flow of electrons, but what really happens is more complex.
The surface electrons provide the medium for the propagation of the EM wave, though just like air doesn't "move" for sound transmission, the electrons do not either. The electric field induced in the wire is what moves electrons along.
In AC ... i.e. power, audio signals, etc. the applied potential is changes in amplitude and is reversed, which cases the direction of the e-field in the wire to change direction and the direction of the electrons to move.
What perhaps you are missing is how is that signal "converted". Well in a speaker, those moving electrons induce a magnetic field, and when that magnetic field is a speaker coil, when they are moving one way they push the speaker out, and when moving the other way, pull the speaker in.