Go to your ACP
Expand Skins and Templates
Click on Macros
Edit the macro set that you're using for your theme.
Click Add a Macro (it's in the red heading beneath Edit Macro Title).
Next to Macro Key, paste in the following
MOBILE_LOGO
In Macro Replacement, type in your links as usual as in:
<a href="URL">Title</a>
Click Add this Macro
You're done! You can style is as normal in the stylesheet. I have the styling in the macro itself, just because I don't need it anywhere else. If you want to do that, add the following code at the bottom of the Macro Replacement.
<style>
/* your styling here */
</style>
That's it! Be freed from the shackles of no templates and embrace your custom mobile menus!