Resolve a custom post type name vs. page permalink conflict (same slug)

I have a custom post type called “visningshus”, and also a Page with that slug. This is as it should (must) be.

Currently, “http://my-site.com/visningshus” lists all posts of that type. I want to show the page that has that permalink slug instead.

How can I make WordPress not make the post type name take precedence, but instead the permalink, and show the Page?

The easiest would be to just disable the archive page for this CPT:

register_post_type( 'visningshus',
    array(
        [...]
        'has_archive' => false,
        [...]
    )
);

Don’t forget to refresh you permalinks afterwards at “Settings > Permalinks”