This is exactly what we're trying to build with
https://github.com/accretional/statue - you can email me or hit me up on Linkedin to get early access to our free static site hosting (which our new site for the project at
https://statue.dev runs on, and which will Soon™ have a public-facing product doing exactly what you just asked for)
Basically you'll be able to edit the markdown for your site in a souped up version of our lightly reskinned vscode IDE at https://brilliant.mplode.dev and instantly publish/preview the changes in the same browser tab in a pane. Brilliant comes with a full Linux environment running in a container on our cloud platform, and building a Statue static site is already a one-command operation. The little UI we're working on let's nontechnical people skip that and just edit files and click buttons to make changes and publish it, though.
Here's a one-liner that will get you an entire static site with content (not the landing page yet, though) you can edit via markdown:
yes | npx sv create . --template minimal --types ts --no-add-ons --install npm && npm install statue-ssg && npx statue init && npm install && npm run dev