Well, I highly doubt your bias can be overcome, regardless of evidence, as you are already imposing the a priori and unwarranted criteria of "an uncaused non-random event". You have simply defined free will in such a way that suits your bias.
You criticise it as bias yet offer nothing else in response and even fail to show how it is biased rather than just the outcome of a neutral process. If you are claiming the process used is bias then at least provide an explanation as to why you think that.
I am also not imposing any a priori criteria, but rather that such criteria are a logical conclusion of the evidence that we do have of how matter interacts.
I have also not defined free-will as anything other than a fairly standard "doing what we consciously want to do".
You have an alternative definition that you want to work to?
What necessitates free will being "uncaused"?
It seems to be a logical conclusion from cause and effect within the closed universe of the material realm.
There seem to be two options with regard consciousness and freewill - either they are part and parcel of the material realm, or they are something different.
Let's start with the former:
Matter interacts with matter in predictable ways - predictable if you have full knowledge of the matter and allow for probabilistic outcomes.
If consciousness is to exist within such an environment then it, too, must behave like all other matter in this regard - i.e. every interaction is the result of a previous one; every moment is the cause of the following; the only evidence for uncaused events are random events such as radioactive decay and other such.
This would result in consciousness (and freewill) being part and parcel of such an environment, and our conscious perception of them is illusory - as there is no real "choice" within the motions and the interactions of the matter.
If there is to be "genuine" choice - if our consciousness is to exert its will on the interactions of the matter then it must somehow determine the outcome of those interactions, then ultimately there must be no other cause to that decision at the material level... as we have detailed above that matter interacts according the governing laws.
So for freewill to exist in such an environment it must itself be the cause of non-random outcomes at the micro-level of matter-interaction.
But for itself to be the cause then it must be ultimately be uncaused, as otherwise it is just part of the same chain of cause/effect as everything else.
As such, for free-will to exist in a purely material realm, it requires uncasued non-random events.
Now for the second option of consciousness being separate from matter:
Matter interacts with matter in the same way as if it were a wholly material realm.
Somehow consciousness exerts its will on that matter - and causes the matter to interact differently - for outcomes to no longer being random, and for changes in that matter to now being somehow uncaused (at least from the point of view of the material realm).
So again we have, at the material level, consciousness and freewill requiring there to be uncaused and non-random events at the material level, even if the causes are at the conscious level that we can't directly observe.
But there is no evidence of uncaused and non-random events at the material level, at least none which does not start with a priori assumptions.
Hope that answers your question?