I'm not sure if I fully understand everything. So 1 more question :-)
If Binance has a coin that you can buy/sell on their exchange. It does not directly mean that you can transfer that coin from/to Binance from/to another exchange, correct?
I don't use Binance but it would be extremely unusual for an exchange to trade a coin but not allow it to be withdrawn.
As I just suggested the best place to find out would be their withdrawal page.
Also, you can see the fee schedule here:
https://www.binance.com/fees.html