Also barely fits in the bag, but it's what's there for now: koolstop.com/products/koo...

Kool Stop Tire Bead Jack

The Kool Stop Tire Bead Jack is an articulated tool, with a comfortable grip, for installing really tight tires. The articulated end uses the rigid piece against the rim edge as a fulcrum while the hi...

The Challenge Tyre Tool feels better to use than the Kool Stop (I have both). Don't tend to take either out on the road though. For standard tyre levers, the Muc-Off ones are of superior strength and function in my experience.