The other solution is beautiful, and helped me quite a bit in earning this one. However I wanted to point out, if you hit level 11 and can't find any matches, start server hopping. I had actually had much better luck finding these matches on the Hong Kong server.
To switch servers simply hit
on the title screen and select a different server from the one you're on. You might have a high ping on the other servers, but it's better than not being able to find a match at all.
If you're in the main menu of the game, to get back to the title screen, simply click on "quit".
For reference I was very consistently getting into Battle Royale quick matches on the Hong Kong server from around 11 AM EST until I stopped playing around 2 PM EST.