Good suggestion, we have Electrum wallet, we can use it, and though you have to pay an extra transaction fee it's still okay compared to risking your account that you might not be able to register in the same platform again, and worst if they will confiscate your funds.
The transaction fees now are very cheap, you can send with a fee of less than a dollar, so that should not hurt your wallet.
Just be safe as it's not good if the government will be after you, you have a little chance to win.
It does not necessarily needs to be bitcoin you used for the transaction, but there are ways Bitcoin can be used and the transaction time will not be long even with low fee, the time the memory pool are congested is not always and low fee can be used very well, like you said that the memory pool is not even congested now and low fee can be used.
But if someone see bitcoin not convenient because of the transaction fee and transaction time, the person can use altcoins for the transaction, altcoins like ripple, litecoin, USDT (TRC20) and some other coins can be used for low fee. Many altcoin wallets are noncustodial and low fee can be used while the exchange also support the altcoins.