i need a second logo -- 2

hi started a clothing brand called sleepy demeanour. The issue is for a jacket i already have a back logo but i need a second one or more like a small icon simmiliar to the nike swoosh icon for instance on the front of the jacket.

I was thinking of a fluffy slipper with zzz just like the back logo down below but im open for different ideas keep in mind its gonna be a small icon. and im a little picky because this is gonna be the face of the brand

thank you guys!