You don't have to use a nav bar on all variants. I always create a simple pop up menu for mobile since mouse over is not supported or needed. I use this combo on my site www.gwpriester.com Custom menus on the browser variant and a pop up with links on my mobile site which works for me in Safari.

This was done years ago just as a demonstration of what can be done if you create your own navigation bars. http://gwpriester.com/menu-test/