(yeah that is a whole winamp running on cohost dot org)
This was actually surprisingly easy! It automatically loads on any page with audio tracks on it and adds them to the embedded winamp instance, which means you also get auto-queue/shuffle/all that other stuff.
Here's Winamp on Cohost, in case you want it: https://gist.github.com/Alloyed/900e4ba569bdc8728e4c86403f77b249
to install, get a userscripts extension and hit the "raw" button in the top right. your userscript extension should automatically prompt you to install it.