We started with the medic alert bracelet as soon as we could. Ours reads :

Adrenal Insufficiency treat with stress dose stereoids

We didn’t mention CAH since if someone googles that they may get a lot of intersex stuff that doesn’t really apply, which may be embarassing for our child.

Our endocrinologist contact information and other things are accessable to EMTs if they use the number on the medic alert bracelet.

Just my approach.