I haven't used an out-of-the-box self-hosted solution for this, but I agree with others that blog or static site generator software could work. I think the main challenges you'll find though are: 1. Formatting the content/site for long-form readability, and 2. Adding a table of contents and previous/next chapter links without a bunch of manual work.
Fortunately blog and static site software have plugins that can add missing functionality like this. Here's one for WordPress (that I have no first-hand experience with): https://wordpress.org/plugins/book-press/
I also want to ask: What's your plan for discovery/marketing? Because one of the benefits of the non-self-hosted web novel sites is that readers can theoretically discover your story there. But if you instead just post it on your own site, how will readers ever find it?