Okay that makes for a viable reason -- and sorry forgot about the fact that you auto-completely heal after a Long Rest
Again I would state that while aesthetically what you are creating is a character that does not use magic what you are doing mechanically is creating another "magic system" that is not called magic and uses slightly different rules. With that said I would examine the Cleric and see how you might apply what they do to this new Medic class because frankly you are just creating another type of Cleric. To be absolutely clear, you are wrestling more with the semantics of the words you are using rather than dealing with the game mechanics. Once you start there you will have a better base to build from and can build something that is balanced against the other classes because well you are using one of those classes as your base template - so sort of like building a sub-class but not
Again I would state that while aesthetically what you are creating is a character that does not use magic what you are doing mechanically is creating another "magic system" that is not called magic and uses slightly different rules. With that said I would examine the Cleric and see how you might apply what they do to this new Medic class because frankly you are just creating another type of Cleric. To be absolutely clear, you are wrestling more with the semantics of the words you are using rather than dealing with the game mechanics. Once you start there you will have a better base to build from and can build something that is balanced against the other classes because well you are using one of those classes as your base template - so sort of like building a sub-class but not