I have no idea if this is likely but hoping they won't "excessively" profiteer by keeping the charge at double it's previous amount when real costs reduce.
(Currently Bitcoin network charge is approx $5 and KuCoin withdrawal is $26.90!!!)
Exchanges tend to be very quick at increasing their fees when necessary, but not at decreasing them, so you might end up waiting for a while.
Have you checked if there are any bridges that support their chain's network for transferring bitcoin? If they do have one, maybe you could use that in this case. Meaning you can withdraw using their chain, but then bridge it to the main network. Some bridges do have some fees, but they shouldn't be that expensive.