it doesn't matter if you pay thousands to broadcast mainstream music, YouTube cuts it and you have to prove you were ok to use after the fact unfortunately. It's also got worse on Facebook where a lot of djs I know are doing invite watch parties that gets round being cut off a bit better.
You could run a test stream of the music the djs going to play to see how the songs do which we've done before, some genres get away with it more than others. I've also told a dj we're looking to start doing stuff with during our streams to start collecting dubplates and tracks that haven't been released from producer friends to tackle it.