I strongly disagree with, "Capitalism is the cornerstone of a free market." Free markets can exist without capitalism; capitalism can exist in free markets and markets that are not free — as in Nazi Germany. (I define capitalism as mass production of goods and services for sales in geographically extended markets.)
That said, I agree with everything else here. To free the economy from external control we need a supply of money that is absolutely exogenous: independent of all other economic variables and free of any institutional intervention. (I think that is what Hayek and them were trying to get at with the concept of 'neutral money'.)
I stumbled upon a way to do that: "A Call for a (Further) Central Bank Revolution" here in Medium.