A legally accountable person is a must for any project these days. Without it, it won't be traded on exchanges. This may also be the main hurdle to get on Binance. You said they want all kinds of fishy information before they list but that shit only seems to apply to the usual ICO scams. For a legit coin like BLK, they would only require a representative that is responsible for the project should anything ever go wrong. After all, they listed Navcoin, which is the most similar thing to BLK. That community doesn't have a warchest either. There's no way they'd be able to cough up the funds for a 'non-legit project'  listing fee.   

If you're willing to give Binance just that, accountability, I'm sure they'd have BLK up in there in no time.