The problem what i see is amount BTC You trade is too big, maybe if Binance not do KYC, you can only withdraw not all amount in 1 day. With that, maybe you could take your time, i mean withdraw at maximum current tier and do it in the next day. I think to open the site you maybe not have any problem with it.
I think the OP doesn't states that he deposited already thus the value he wanted to trade doesn't affect to the approval towards his KYC application. The reason for the rejection of his application is because of his country himself. Perhaps his country prohibits cryptocurrency or whatsoever thus Binance don't want to be involved from their country. If ever they allowed someone to get approved and it's stated that they shouldn't according to SEC or whatever agencies liable for that then they can be charged or sued for not obeying.
You are right, but i think Binance not ask their users to do KYC. I am not do KYC yet, but if op mention that amount of money, maybe he will asked to do KYC. But if me have big amount of money, i will deposit and withdraw little by little or maybe on maximum that i can withdraw on my tier. If only to open the site, maybe he can use VPN, and still can trade on Binance anonymously.