Calibre recipes do more than just RSS feeds; they can capture regular website pages and follow the links.
I use Calibre's built-in recipe to download weekly issues of The Economist. (A subscription is req'd to access that secion of the site, so I had to give it my account and password when scheduling the d/l but it works fine.)
Otherwise, you *could* use Windows scheduling or a Linux scheduled job with a regular website capture utility like this one:
(Not free. There are plenty others that are, though.)