I don't know about cold tolerances but have had experiences with drying. I have a number of varieties of Colocasia and one growing in my turtle pen needs thinning out now and again. The excess plants are thrown in a corner in the dry season and appear to die off. Come the wet season there's quite a few new plants come up from them but usually smaller than what I pulled out. That could be the result of temperatures still being sufficient for growth but no water to allow it. After a couple of seasons like that they usually wither away completely. So the complete drying out is more likely detrimental to them.
Maybe if you let them dry a bit but not completely they would be okay with reduced sized leaves until your warmer weather returned. Remember air inside houses is usually much drier than outside.