The best way to deal with them, is not to convert to fiat.... you keep everything in Bitcoin and pay for products and services in Bitcoin. It is not always possible and in some
cases you have to convert to fiat, where products and services have to be paid by fiat. Do your homework... email the exchange and ask them what banks are Bitcoin-friendly.
They will give you some options... and then you support these banks. I shifted all my accounts to a Bitcoin-friendly bank... If they support your needs, you should support them.
The rest of the banks that are not Bitcoin-friendly should not manage your money.... they are the competition.