I don't think there is any option available for you where an integration exists with a crypto wallet and BOA accounts. Instead you can use Localbitcoins or coinbase platform to buy/sell bitcoins as per your convenience.
Localbitcoins is a platform for traders where you can buy and sell bitcoins using online payment from any bank accounts. Coinbase is an organization where you can do the same through wire transfers.
I hope this will suffice your needs. But if you are looking for an integrated account with wallet, I don't think it exists!
However, I have a lot of interesting things highlighted from your post.
The author of the first post. it seemed to me that you are looking for a person here on the forum who will help you to exchange (Sell/buy) bitcoins from your account in your Bank?