Personally, I would use the
OverDrive Link plugin for calibre, which can search for and save a list of available and recommendable OverDrive books in any number of configured libraries, and supports Freading and 3M library as well. It is basically my default way of communicating with OverDrive.
Once it's set up, you can bind the search to a shortcut key and just periodically run it against all the books in calibre, it will run in the background and you get a cached list, aggregated amongst all the libraries you have access to.