If you have Alfred, you can sort of do this with an extension I made: https://github.com/sballin/alfred-search-notes-app

The default search looks for folder names too, so searching "[folder name]" will bring up all the notes in that folder, and "[folder name] [note name]" will bring up the specific note in that folder, as of the latest commit a few minutes ago :)

The Web Clipper mangles most web sites for me. These days, I try the "simplified HTML" mode, or just do a screenshot, because the default mode just ends up a jumbled mess like this: https://i.imgur.com/RsadnVx.jpg.