I just had the most horrible experience:I had to hear an audio publicity clip from amazon services that I was not able to shut down.
I've never seen Brave, good luck with it.
I use Chrome and the only bad thing about it imho is that it's opening a ton of files almost continuously in the background.
But Chrome is mature. And it has a lot of extensions, also for blocking such ads (I use AdBlock plus and Ghostery). Brave will need work, it's pretty new software.
Now about stopping things in Chrome: Chrome has its own task manager, in More tools->Task manager. From there you should be able to stop/kill anything Chrome is using.