Well, I think the solution is to NOT have something tucked away (like the current menu). You have space in the header, use it! Especially for buttons that will be frequently used.
And don't use icons only. Users went mad when GMail replace text-buttons with icon-buttons. [1] Just use text! Or use text with icons, but not icons only.
[1]: https://support.google.com/mail/answer/2473038?hl=en&ctx=mai...