Yeah, a safe with a key would work too. Just talk to your parents about which type of safe they would like to use.

What you could also do is get a second safe that you put your keys and wallet in. Then if there is an emergency of some sort where you need to drive somewhere and your parents aren't home, you can ask them for the combination to get your wallet and keys out. At the same time, you still wouldn't be able to access your meds because they would be in a different safe.