Then, REMOVE ALL CURE DISEASE POTIONS!. The game should have medicine like flu syrup and you shouldnt cure your disease immediately, but rather over 3-4 days.
My suggestion: Hopes a modder comes and do it but still,
-Remove all cure disease potions, leave cure poison
-More diseases like common flu
-Assuming that you can fall down and injure yourself, bring some cuts and wounds that need treatment.
-Medicines that cure you over a period of days
-disease effects are lame e.g. -25 health, REALLY?! LAME
But i assumed that bethesda rushed the game and didnt really care about it, just like the food system.

