I'd consider this as well, and it seems to be an element that is getting a closer look. Material Design introduces the floating button concept as Android's default, so expect to see more and more actions (eg expand menu) on bottom or safe sides of larger devices.
Now, I'll play devil advocate's and recommend you to check the Affordances article by Mads Soegaard that takes both Norman's and Gibson's definitions. Here you'll understand why this is still a difficult move, because most users expects to see that element on top.
With all this being said, it's possible to create an alternative that considers all scenarios: for example, you could use a floating action button and target big mobile screens so the floating action shows on bottom or maybe middle of screen, then use a bottom sheet to display your menu. And on regular mobile screens, keep the menu on top and use the bottom sheet or just a regular dropdown menu.
However, keep in mind that I'm talking about MENU. Whether you use the hamburger icon or something else goes on you and your testing of the element