Setting up Sonarr and Radar with docker isn't all that complex. If you set up Prowlarr as well then you can still get the instant search and download aspect you mention except you can search ALL the good websites at once and (most importantly for my stress level) avoid all the bullshit ads and malware you've got to worry about blocking while browsing those sites through the web. Sonarr is perfect for following any show, not just those you might binge watch. Topical shows like SNL and last week tonight get picked up automatically. Long term favorites with unpredictable release cycles (looking at you Doctor Who) get snapped up when they're most popular and download super fast. Cleaning up old seasons to clear out space is as simple as navigating a web page. Both radarr and sonarr can connect to other services like that.tv so less tech savvy household members can add a show or movie to their watchlist and it will automatically get added, searched, downloaded, and hosted without any extra interaction from me. You can even set up profiles so that certain lists meet quality standards, so for example the kids cartoons aren't downloaded at the same high a quality as the adult shows.

My point is this, make the switch to automating the searching and downloading, not so that you can hoarde everything, but so that you can't stop spending as much time being the home video librarian and more time enjoying it. On more than one occasion I've been out with friends and somebody mentions a movie they liked, I've taken a minute to add it to my list, and the movie is ready and waiting on my Plex (and/or Jellyfin) before I get home.