Almost for sure, this is a bad CCRM. The fan circuit is on an "always on" circuit. The CCRM is the only thing that can turn the fan off. For the fan to always be on likely means the relay contacts have been welded shut.
Recommend getting the replacment as a re-man unit from your local autoparts store.
Recommend getting the replacment as a re-man unit from your local autoparts store.