Solve the humidity problem first, or it will happen again, and to your lenses too. I agree that silica gel is impractical except if you are just storing the gear in a sealed container, and are using silica gel that you know is fresh.
We don't know the state of the sensor. OP hasn't even said the sensor is not performing well. I would keep using it if it still takes clean pics.
If the fungus is on the surface of the sensor impairing image quality, it may be impossible to clean, because fungus has the ability to etch glass. Amazing but true. You can't clean etch marks off a surface.
As for fungus spreading, sure, it will, but fungus spores are everywhere in the air, and you can't keep them from your gear. They will grow if it is moist and dark and the right temperature. They will do that eventually whether the gear has a colony already or not.
You can stop fungus in its tracks by storing the gear somewhere dry.