My roll off roof observatory is probably in a colder place than yours and regularly has ice on the roof by 10pm.
The scope and mount will often be dripping by the time I finish. The mirror is dry due it heat straps etc. I just throw a cotton sheet over the mount and close the roof. It drys the next day.
Why are you worried about it?
Dont look at it a dawn and it won't worry you.
Turn the electricity off when you are finished and let it dry off.