Don't struggle any more with a portable pump that you can only physically get to 60 psi. This pump turns into a floor pump which uses leverage and your body weight to make it easy to get to 110 psi. It's a portable pump that morphs into a floor pump, the best of both worlds (& it's small and light)!
Topeak Mini Morph Pump has a flexible hose & a fold-down foot pad. Easily mounts to your bike.