Your best choice is to use a non custodial wallet that support lightning network Bitcoin and then withdraw it there temporarily until the transaction fee is back to normal. You can choose Wrapped Bitcoin since they have pegged value to BTC but it's not a real Bitcoin and only good for temporarily holding.

You have no choice here than to wait for the fee to go back to normal and let your Bitcoin stay on exchange or use LN network & WBTC to temporarily save your Bitcoin invesment to a safer non custodial wallet.