The current header style is to insert the Logo and then follow with the Menu. Options, such as Search or Contact Us, may be included on the same line.
Another option, include a Secondary Top Bar above the menu bar. This bar can include a message, quick access to social media via icons, phone number, or whatever you feel would provide a service to your users.
An alert bar below the menu bar, with news, sale programs, directions, countdown bar, etc.