A heated and well ventilated shed would keep the relative humidity in spring/fall/winter pretty low, even if it's rainy and foggy outside. But it would consume a lot of energy (money...) to constantly heat the shed, of course... I would install a hygrometer, they are not that expensive and give you some useful data on which you can act on...
Oh, and the problem with zip-bags or other airtight containers is relative humidity and dewpoint. Just as an example... My room temperature at the moment is ~25°C and the relative humidity reads ~50%. Dewpoint, at these conditions, would be at around ~14°C. What that means: If I seal a component in an airtight container at these conditions and the temperature drops below 14°C, condensation of water will occur inside the container. And that is really bad... Hence the Silica Gel, it is really important, because it keeps the relative humidity inside the container at a low level, regardless of temperature changes...