What about Binance P2P?
and there is a member from Nigeria who is very trusted
CryptopreneurBrainboss, he have an exchange service, from Altcoins to Nigerian Bank Accounts, indeed it is not for the service you need but maybe with proportional fee he is willing to help you, just wanted to let you know, and also not knowing if withdrawing from a gambling site directly to a bank account in nigeria is safe, hope you can withdraw the money.
I think there is no way to make the transaction via Binance P2P also I do not think CryptopreneurBrainboss would be able to help the OP. As the site only accept Nigerian bank and if CryptopreneurBrainboss or others wants to help then that would be able to come true if they have the same bank account name as bc.game which might have not.