You already know Binance was the best exchange so why you need the other exchanges? Binance gives a free option to not fills verification if you don't want, but you need to satisfy with 2 btc for withdrawal. And if you are no problem with verification, then you can try to verify yourself in Binance. The other best exchanges you can try are Bittrex and Poloniex, but in that site, you need to do the verification process.

So in these situations, Binance will be the best exchange you can choose. And you don't have to bother with the verification process.