I would like to be able to claim that consciousness is a physical phenomenon, arising from, subject to, and embedded in the physical structure of the universe, while at the same time claim that conscious free will exists. These claims seem incompatible.
However, one possibility that occurred to me is that consciousness is actually a process that exists very marginally in the future, in some sort of haze of physical (im)probabilities. This would give the opportunity for consciousness to be non-deterministic and to affect the outcome of probabilistic events before they actually occur, without leaving any physical record of itself except that an apparently insignificant, improbable event had occurred.
I have been looking for a theory of consciousness along these lines and although some propositions include the possibility of consciousness existing at the quantum level [Penrose?], I haven't found any that consider the possibility of a continuous process existing in the future.