I'm using the stand-alone Unity client and can't for the life of me find any way to search for and play a specific community level. What am I missing?

Worse than that, even using a browser, when I go to a community level from the level creators profile I can't play the level. There is only a "Like" option. If you hit the "Play" button, it just takes you to your normal set of games.

Is there no way to find and play specific levels?

For example, I'd love to filter on all levels created by lepanto31 and then be able to click them to play them. Sounds simple, right?

Try Mulis Userscript.

It offers that option and much more

https://www.warzone.com/Forum/106092-mulis-userscript-tidy-up-dashboard