Surely you would agree that brains are a product of the physical world, and thus are subject to mathematical laws (what we see as repeatable chemical and electrical deterministic actions).
If you believe this capacity to imagine before acting is an emergent property of the brain, then even the imagined options are subject to the same mathematical laws. If you imagine a few different outcomes, then you were always going to imagine those outcomes and you were already going to pick the physical action. In this scenario "Free Will" is a non sequitur, things just unfold the way they were always going to unfold - the end is contained within the beginning (if there is such a thing as beginning or end anyway!)
If you believe that the capacity to imagine before acting derives from something outside of the physical world, IE maybe part of it happens in the brain but another happens out of it. Perhaps it's a soul - Gurdjieff said that we're born without souls and spirituality is about developing a soul, and without one we are machines - literally used that word. There are tons of examples of people trying to explain this problem, that one just came to mind. The point is that you can't explain free will in a consistent system without implicitly introducing a foreign element that exists outside that system. If God created us, then who created God?
I have yet to see a logical explanation that really addresses the problem of consciousness. Your description, while it is very interesting, I feel just squeezes the problem into an abstract realm that exists outside the system. But I don't believe in a split between physical world and the mental abstract world, they both must arise from the same place. And if anything indicates that reality is far far weirder than we can know, it's that both the physical and mental/abstract world exist, emerging from the same reality.
FWIW I believe that there are some rules underpinning the world, however I suspect the physical laws that we've been able to piece together are emergent properties of something more primal, in other words there are probably systems determining systems - we see the world since the big bang but it's just a snapshot, the "systems" that we see as "natural laws" are most likely shifting slowly as well - slowly as in far slower than we can ever imagine, googleplexes of years. The underlying systems may not even be systems or rules in the logical sense, they could be, to borrow Godel, far beyond our ability to describe, or contain things that are impossible to prove. Can we even describe a system from within a system?
Because I believe that, I don't believe in free will or even non-free will - things just unfold the way they always would have.
EDIT: I also find it deeply weird that anything exists at all. Why isn't there just nothing? It's a seriously spooky thought if you think it through.