Absent an agreement supporting email as a means of notice, there's no reason a bank would be required to accept and/or respond to email.
Because of problems with "spam filtering" and the like, many companies try to avoid email because sometimes things are more easily lost. A sender may be sure he sent it, but there's no proof it was received or actually seen. If they require fax, go to a local Staples/Kinkos, and do it that way.
NOTE: (1) I may be guessing and/or not even licensed in your state; (2) We have not established an attorney-client relationship; (3) Sometimes you get what you pay for; and (4) If you want to send me a gift, my favorite color is orange.
If the bank wants communications by fax, and does not want communications by e-mail, then be prepared to fax.
Please note that I am answering this question as a service through Avvo but not as your attorney and no attorney-client relationship is established by this posting. An attorney-client relationship can only be established through signing a Fee Agreement and paying the necessary advanced fees.