Because there is no option for the exchange I'm using, I'm not able to provide my crypto wallet address.

Sorry to hear that, and we apologize if we have missed out on the most popular exchange you utilize. We may add this exchange to our list for more users to use it, and we hope you could submit a support ticket on this.

Please note that we are unable to list hardware or cold wallets since they are intended to be private/disconnected and not involve any transactions with them. An exchange wallet is a way to go if you want to trade since it's used for trading.