I normally carry a murse with me with EDC **** in it, similar to the Max Jumbo (Hazard 4 Kato).

Normally the gun is on me, but there are times coming out of gym in sweats or playing on the jungle gym with my kid where it just makes more sense to throw it in the bag.

As for a light on your gun in your bag, I'd suggest you use a holster that would fit that combo. Without something to protect the switch the light could get turned on in your bag.

We learned the hard way when our MP5 lights would turn on burning holes...pretty big ones...in the bags we'd store them in after shift.

Another suggestion is to put a CT grip laser on your gun and keep a flashlight on your support side pocket. I use a flashlight often for all kinds of mundane tasks, but a rail light only serves one purpose. A hand light/laser combo will allow you to illuminate your threat without practicing the FBI, Rogers, etc...techniques.