Have you try to used Mercatox exchange? If you didn't try? I want tell you you should try mercatox it is a good exchange for me. Mercatox exchange is so very efficient to use because of their simple crypto exchanging system. You don't need to make KYC on this exchange all you need to din is to 2AF to secure you account which is also available on other exchanges.
Mercatox is a crappy exchange site and there was a lot of people were complaining about they have a terrible service. You must see how mercatox ann thread has been flooded with so many complaints.
Kucoin I think will be a good choice for trading without verification
Kucoin will have implemented the limitation to the account that has not yet verified after september. it will have a similar system with binance.