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Capitalism has done as much as it has for the advancement of the human species because it aligns with our basic nature (gather and amass resources) while producing and innovating with the unintended side effect of improving quality of life overall.
I still feel that regulated capitalism is the way to go for most industries. The exception is services which should have 100% coverage, such as medical, acidemia or utilities. Those should be government ran.
I think you've fallen for the lie that markets can only exist under capitalism. Capitalism is about hoarding wealth and resources, and supporting, enabling, protecting, and encouraging that hoarding.
You can have markets in which people trade goods and services, create and invent, and even compete without capitalism being involved in any way whatsoever.