You already have a similar open topic here:
https://bitcointalk.org/index.php?topic=5553046.msg65664411#msg65664411Why didn't you just continue the discussion there, rather than opening two topics that are kind of identical.
what service would you recommend? Any of the ones listed on kycnot.me?
Kycnot.me does not list BTC wallets, they list no-kyc exchanges and marketplaces. You are looking for a wallet to move your funds into from binance, so that is not where you should be looking. You can check kycnot.me when next you want to buy or sell cryptocurrencies.