I make paper cue sheets even though I have an iPhone 7. (Work gave it to me.) I keep the phone in my back pocket since I don't consult it often. However, a friend of mine bought me a LIFEPROOF case for the phone along with the optional handlebar mount. Haven't tried the mount yet, but it's something you might want to look into.
This is the one I have:
Waterproof FRE iPhone 7 Case | LifeProof
Here is the mount:
iPhone Bike Handlebar Mount | LifeActiv from LifeProof | LifeProof
They make cases for other phones as well.