Joe,
If you have an organizational account, I would add your normal road layer as a feature service and then also add a "damaged/closed" road layer, that has edit enabled.
I would create this layer in a geodatabase, which enables you to create domains, which result in dropdown boxes once importat into ArcGIS Online. I would create one column called Active/Inactive depending if the road is still blocked or cleared (with this you can later do a summary of all roads that have been blocked/damaged, without having to delete them). Next I would have a column with the possibilities of the road condition (i.e. blocked, damaged, destroyed...). Later you can use this column to summarize different damage types.
With the new changes coming to the ArcGIS Collector map, your field crew is able to digitize lines and with the dropdowns created in your geodatabase, they can gather information very quickly, regarding road conditions.
Hope this helps!
Fellow EOC GIS person, Tim 🙂