Remember that dew occurs due to radiation of heat into space. This radiation can cause the temperature of an object (especially an object with low thermal mass such as a blade of grass) to drop below the ambient air temperature and sometimes below the dew point, causing condensation. This radiation is minimal with the computer under a carport.
If your computer is on, (even if not mining) the generated heat should more than compensate for this, whether protected by a carport or not.
If your computer is off or might lose power, then it is possible, but even then the carport and case should protect the interior from dew.