I haven't needed to do kyc with binance and have deposited 0.5+ btc in the past.
I'm using it from the UK so you could vpn through to there or somewhere like Scandinavia or the Netherlands who may be more relaxed still (I'm assuming).
I don't think you can use binance in USA without KYC, since last year the development to monitor trade on binance US has increased and you may not be able use other binance within USA except with VPN Also there limited coins on the exchange at the moment because of the demand in the counties financial system. You may not have to compare UK now