To help with moisture issues requires addressing the dew point. Water vapor does not cause rust, liquid water does. Relative humidity: it is relative to the temperature and the amount of water in the air. Dewpoint: The temperature at which water vapor condenses into liquid water. If you want to stop condensation (and rust), you need to raise the temperature and/or lower the amount of water in the air. A dehumidifier or silica gel works at taking the water out of the air. A heater raises the temperature. Either one or both will work, by getting the dew point of the air near the tools lower than the minimum ambient temperature. A light bulb is as good as a pipe heater, which is as good as any other resistive heating method. You can heat or dry the entire shop or just where the tools are stored. The only thing that matters here is raising the temp and/or lowering the water content of the air. Treating and/or shielding the metal so protect it from the moisture can also be useful, but is another topic altogether.
Or, move to a drier climate...