The trouble with the bookmarking idea is link rot. It takes some effort to keep the lists up-to-date. The new webrings are not doing too well because of this either. I know of around 190 of the "new" webrings and can only get around 20% without encountering a 404 message.

The "small web" search engines might well be the way to go. Apart from Kagi, some I know of are:

https://search.marginalia.nu/ https://wiby.me/ https://searchmysite.net/