What if the "Primal Cause" is not some self-aware, powerful entity, but instead is nothing more than the fundamental processes and rules governing the interactions of the material of the universe? Molecular chains - the ones used as the building blocks of life - have been shown to combine and re-combine, and given the raw materials, even DUPLICATE themselves. Think of a magnetic half-zipper, rolling around in a sea of zipper-parts. Those zipper parts adhere to the original half of of the magnetic zipper, and then when all the parts match up and stand in balance alone, the magnetic embrace is broken, and another half-zipper goes rolling off into the sea. No consciousness, no decision-making, no intelligence required. The rules of interaction of base universal materials does it all.
And why is it so important that those rules "had a beginning?" That the material "had a beginning?" That's you... unable to break out of the mindset/idea that you, yourself "had a beginning." You're willing to accept that "God" had no beginning... why not the material and rules of the universe? What logical basis could you possibly have to deny it when you grant God the same property?