Medical equipment in lines?

The fanny pack question from earlier sparked a thought:

I carry an epi-pen and other emergency medicine with me and would need to have it with me in line. For rides that require you to store things in a locker, how do I manage this? Are there places near the ride loads that I could place my bag with meds? Ideally, I'd love to just keep my phone in my bag with me, so I don't have my belongings in two places.

Anyone know how thst works?