You don't have to look for other exchanges, I think because binance is going to be a good exchange. If you are not comfortable giving your document to them, you do not have to verify your account, but your account will be subject to limitations. You can save the USDT or other fiat money on the other wallet, whether it's a desktop or mobile phone hardware wallet or apps wallet. But if you want to exchange a stable fiat coin, I think you can use third party services in your country,such as exchanges.