you can do what you want with an account in a stock brokerage house. etrade, schwab, and fidellity have a product that will work. you will have to get a credit card from the brokerage to make them happiest. money from a credit card available at ????????? is expensive, unless you can direct pay. sounds to me like you have a lot of limiting parameters. by MY bank do you really mean only one particular bank in the world? if so, you will have to work the problem out with them.
i had "partnerships" with about a dozen foreign banks. all were started in that foreign country. some i transfered into, some transfered to me.