Have you tried the other withdrawal option like ethereum or BCH? On my experienced, I'm exchanging altcoin or token in some exchanges like Coinexchange and Tradeogre but after exchanging my altcoin or token to bitcoin I buy ethereum because if you request a withdrawal with this coin the exchange site withdrawal fee is less than bitcoin withdrawal fee.
This is the only way that I know can reduce the withdrawal fee when transferring or withdrawing your coins because most of the exchanges have same withdrawal fees.
Thanks for the sugestion. I also use altcoins, LTC, ETC, DOGE and others to withdraw without paying many fees, but there are specific situations where I need to withdraw in BTC.
Exemple:
I get weekly incomes from various sources and different sites, bounties, faucets, referrals, investment platforms and others, I usually convert some values to BTC and send to BitMex, and it only accept Bitcoin, in which case I need the service to be in BTC and that has a low fee because sometimes sending low values, 0.001 ~ 0.0005