There are no rules about medications I am aware of. I only make sure I have original labeled bottles for going through TSA. Even then, I usually save the previous months bottles and only take what I need. I would not carry all my medications in their original bottles into the parks, only what you need to take for that day. I always think, what if I lose them, then what? I believe it's much safer to leave them in your resort, even locked up if you feel it's necessary, than risk needing to replace important meds on vacation.
My son takes meds for ADHD which are controlled drugs. I only take the number of pills he will need for the days we are gone plus a few more for emergency (loss, delays, etc...) He takes a time release pill each morning and can take a short acting one in the p.m. if needed. I only carry the p.m. dose with my into the parks. I usually just carry them in any empty small pill bottle I have....sometimes its a small bottle from the veterinary hospital I work at. LOL I've never in all my trips had medication searched at any park.
regards