What you're looking for is a bit unclear. A standard Q2A installation means just copying the downloaded files and changing a few lines in one of them. The main configuration is done by means of the UI. Linux or Windows makes no difference.
The only thing that I can think that can ease these steps even more would be using Docker, but you will have to know how to use this tool, of course. Just check these search results: https://hub.docker.com/search/?q=q2a . You can see the actual script doing the magic in this example taken from the search results: https://hub.docker.com/r/lavadiablo/docker-q2a/~/dockerfile/
I decided to create a playbook for ansible : https://github.com/Ninroot/question2answer-playbook
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July 15, 2020: Q2A 1.8.5 released!