You can try out AgoraDesk, it is easy to use and you should have no problems trading privately there. As for the fees, AgoraDesk charges 0% fees for takers and 1% for makers, so if you are not going to make any order or offers, you would not pay any fees. However, withdrawing BTC from the exchange to your own wallet is via an on chain tx and the fee is dependent on the congestion of the network at that time.