So I think it will difficult to find bank that accept crypto business except the government really concern about crypto and they make some regulation about it !
Why should you are searching for the bank which accepting the bitcoin.Now paypal accept of bitcoin,so you do two things.You can do the transaction with paypal by using your bank account.Then you can use that paypal money to inverse on bitcoin.So the need of account which accept transaction of bitcoin is not merely needed.
Always consider out on the time that they do make such query and if those times that they can able to see some option then they wont bother on asking out the public.
You can actually make one but wont be directly making up conversions which means you do simply need to convert to fiat first before making any deposits.